And that penance and remission of sins should be preached in his name, unto all nations, beginning at Jerusalem.

and reformation and remission of sins to be proclaimed in his name to all the nations, beginning from Jerusalem:

and that proclamation would be made, in His name, of repentance and forgiveness of sins to all the nations, beginning in Jerusalem.

And that teaching about a change of heart and forgiveness of sins is to be given to Jerusalem first and to all nations in his name.

and that repentance leading to forgiveness of sins should be preached in his name to all the nations, beginning at Jerusalem.

and, in his name, for repentance and the remission of sins to be preached, among all the nations, beginning at Jerusalem.

and that repentance for forgiveness of sins will be proclaimed on his authority to all the nations – beginning at Jerusalem.

To all nations, beginning at Jerusalem. Christ now discovers clearly what he had formerly concealed--that the grace of the redemption brought by him extends alike to all nations. For though the prophets had frequently predicted the calling of the Gentiles, still it was not revealed in such a manner that the Jews could willingly admit the Gentiles to share with them in the hope of salvation. Till his resurrection, therefore, Christ was not acknowledged to be any thing more than the Redeemer of the chosen people alone; and then, for the first time, was the wall of partition (Ephesians 2:14) thrown down, that they who had been strangers, (Ephesians 2:19,) and who had formerly been scattered, might be gathered into the fold of the Lord. In the meantime, however, that the covenant of God might not seem to be made void, Christ has assigned to the Jews the first rank, enjoining the apostles to begin at Jerusalem. For since God had peculiarly adopted the posterity of Abraham, they must have been preferred to the rest of the world. This is the privilege of the firstborn which Jeremiah ascribes to them, when Jehovah says, I am a father to Israel, and Ephraim is first-born, (30:9.) This order, too, Paul everywhere observes with the greatest care, telling us that Christ came and proclaimed peace to those who were near, and afterwards to strangers who were at a distance, (Ephesians 2:17.)

Repentance - Sorrow for sin and forsaking of it. It was proper that the "necessity" of repentance should be preached among all nations, for all were sinners. See Acts 17:30.
Remission of sins - Pardon or forgiveness of sins. It should be proclaimed that all people should repent, and that those who are penitent may be pardoned.
In my name - By my command it should be proclaimed that people should repent, and by my merit that they may be pardoned. Pardon is offered by the authority of Christ to all nations, and this is a sufficient warrant to offer the gospel "to every man."
Beginning at Jerusalem - This was the dwelling of his murderers, and it shows his readiness to forgive the vilest sinners. It was the holy place of the temple, the habitation of God, the place of the solemnities of the ancient dispensation, and it was proper that pardon should be first proclaimed there. This was done - the gospel was first preached there. See Acts 2. Paul also, in his travels, preached the gospel "first" to the Jews, the ancient people of God, offering them pardon through their own Messiah; and, when "they" rejected it, turned to the Gentiles, Acts 13:46.

Repentance - See its nature fully explained on Matthew 3:1 (note).
Remission of sins - Αφεσιν ἁμαρτιων, The taking away - removal of sins, in general every thing that relates to the destruction of the power, the pardoning of the guilt, and the purification of the heart from the very nature of sin.
Should be preached in his name - See the office of a proclaimer, herald, or preacher, explained in the note on Matthew 3:1 (note), and particularly at the end of that chapter.
In his name - On his authority, and in virtue of the atonement made by him: for on what other ground could the inhabitants of the earth expect remission of sins?
Among all nations - Because God wills the salvation of All; and Jesus Christ by his grace has tasted death for Every man. Hebrews 2:9.
Beginning at Jerusalem - Making the first overtures of mercy to my murderers! If, then, the sinners of Jerusalem might repent, believe, and be saved, none, on this side hell, need despair.

And that repentance and remission of sins should be preached in his name among all nations, (h) beginning at Jerusalem.
(h) The apostles, who are the preachers of the gospel, beginning at Jerusalem.

And that repentance and remission of sins,.... Which are the sum of the Gospel ministry; see Acts 20:21 the doctrine of "repentance" is not of the law, which neither requires, nor admits of it, but of the Gospel. The Persic version calls it, "the Gospel of repentance"; a doctrine preached by John the Baptist, Christ, and his apostles; and the thing itself is a blessing of the covenant, a gift of God's grace, and in the hands of Christ to bestow; and therefore the doctrine of it is published in his name, as well as remission of sins; which, though it springs from the free grace of God, is procured by the blood of Christ, and through him it is preached. These two are joined together, not because repentance is the cause of pardon; for repentance makes no satisfaction for sin, or atonement for it; nor does the law at all regard it: tears of repentance will not wash away sin; notwithstanding these, iniquity remains marked before God; Christ's tears themselves did not take away, nor atone for sin; his blood must be shed, and it was shed for the remission of it; and that is the only meritorious cause it. The Syriac version wrongly reads, "repentance for the remission of sins": the Jews (c) indeed have a notion that repentance atones for sin; but it is a very bad one, and has no countenance neither from the law of nature, nor the law of Moses: but these two are put together, because there is a connection between them, as there is between repentance, and life, and salvation: repentance issues in these things; and to whomsoever the grace of repentance is given, to them the forgiveness of sins is applied; nor need any truly repenting sinner despair of the pardon of his sin: and indeed, there is no true evangelical repentance without views, or at least hopes of pardoning grace, and mercy; for that is attended with faith in Christ, and is heightened by the discoveries of forgiving love: such who have the fullest view of the remission of their sins, have the clearest sense of sin, and have the most sorrow for it, and loath themselves on account of it, and are ashamed of it, and do most frankly confess it, and most thoroughly forsake it. And now it was necessary, according to Old Testament prophecies, that both these
should be preached in his name; in the name of the Messiah; by his authority, and as coming through him; since the remission of sin is by his blood; and he is exalted as a prince, and a Saviour, to give both repentance and forgiveness of sins to all the Israel of God, whether Jews or Gentiles; and therefore it is fitting and proper that these should be preached,
among all nations; of the world, where God's elect are; that so they may be brought hereby to repentance, and receive the forgiveness of their sins:
beginning at Jerusalem; from whence, according to the Old Testament, the word and doctrine of the Lord were to go forth, Psalm 110:2 and is particularly mentioned, because the Gospel was to be first preached to the Jews, and be the power of God unto salvation to them; and because that in Jerusalem lived those who had been concerned in crucifying Christ, to whom repentance and forgiveness must be preached; and which would be a great encouragement to the vilest of sinners, to hope for mercy and forgiveness, since such received both.
(c) T. Bab. Ceritot, fol. 7. 1.

beginning at Jerusalem--(1) As the metropolis and heart of the then existing kingdom of God:--"to the Jew first" (Romans 1:16; Acts 13:46; Isaiah 2:3, see on Matthew 10:6). (2) As the great reservoir and laboratory of all the sin and crime of the nation, thus proclaiming for all time that there is mercy in Christ for the chief of sinners. (See on Matthew 23:37).

Beginning at Jerusalem - This was appointed most graciously and wisely: graciously, as it encouraged the, greatest sinners to repent, when they saw that even the murderers of Christ were not excepted from mercy: and wisely, as hereby Christianity was more abundantly attested; the facts being published first on the very spot where they happened.