Acts 15 is in Jerusalem, the center of the church at that time. From Peter we move to Paul and Barnabas who also tell the same story that Peter had: God is saving Gentiles by faith, not by following the Torah. This leads James, the brother of Jesus and the leader of the church in Jerusalem, to declare his mind:
15:13 After they stopped speaking, James replied, “Brothers, listen to me. 15:14 Simeon has explained how God first concerned himself to select from among the Gentiles a people for his name. 15:15 The words of the prophets agree with this, as it is written,
15:16 ‘After this I will return,
and I will rebuild the fallen tent of David;
I will rebuild its ruins and restore it,
15:17 so that the rest of humanity may seek the Lord,
namely, all the Gentiles I have called to be my own,‘ says the Lord, who makes these things 15:18 known from long ago.