“He began

To teach

In their synagogues.

He was praised

By everyone.”

καὶ αὐτὸς ἐδίδασκεν ἐν ταῖς συναγωγαῖς αὐτῶν, δοξαζόμενος ὑπὸ πάντων.

Luke said that Jesus began to teach (καὶ αὐτὸς ἐδίδασκεν) in their synagogues (ἐν ταῖς συναγωγαῖς αὐτῶν).  This is a unique statement of Luke, but the idea was present in the other gospel stories.  Matthew mentioned synagogues 9 times, in chapters 4:23, 6:2, 6:5, 9:35, 10:17, 12:9, 13:54, 23:6, and 23:34, while Mark mentioned them 11 times, in chapters 1:21, 1:23, 1:29, 1:39, 3:1, 5:22, 5:36, 5:38, 12:38, 12:39, and 13:9.  The synagogue was a new developing Jewish established gathering place.  An assembly of Jewish people might take place in a building, since some places may not have been able to afford a special multi-purpose building.  Synagogues were a new thing in the first century BCE, becoming something like a local Jewish town hall meeting place as a center of study and worship, obviously outside of Jerusalem and its Temple.  There may have been some sort of Sabbath worship taking place there with readings from the Torah and the prophets, with perhaps a sermon or explanation.  Jesus with his disciples went there, which would not have been unusual.  However, the fact that he taught there might seem a little strange, if he was not invited.  However, Luke said that Jesus was praised or glorified by everyone (δοξαζόμενος ὑπὸ πάντων).