How did the tabernacle end up becoming Solomon's Temple?
The tabernacle was a temporary tent that remained north of Jerusalem for years after Israel's wilderness journey. God later gave David, and through his son Solomon, permission to build a permanent dwelling place for God. That permanent structure was Solomon's Temple, part of the Law given to Israel.
Les explains that God gave Moses instructions for building the tabernacle while Israel was still in the wilderness of Sinai. When the tabernacle was finished, the Shekinah glory came down upon it; whenever the glory lifted and moved, they took down the tabernacle and followed it. They carried it through the 40 years of wilderness into the Promised Land. For years afterward it sat as a temporary little tent north of Jerusalem, until God gave David, and then through his son Solomon, permission to build a permanent dwelling place for their God—Solomon's Temple. Les notes this was all part and parcel of the giving of the Law to the nation of Israel, their heritage. The Law was never given to the Gentiles; it was given only to Israel, though as Romans chapter 3 shows, it covered the whole human race.