That is what God told him to do. God said to Moses: Come now, therefore, and I will send you to Pharaoh that you may bring My people, the children of Israel, out of Egypt." Exodus 3:10
Israelites were led out of Egypt by Moses who was later succeeded by Joshua. The departure from Egypt to Canaan is normally referred to as the exodus.
That depends which migration. Abraham migrated with his Hebrew family from Ur to Harran and then to Canaan (see Genesis ch.11-12); Jacob led his Hebrew (Israelite) family, descendants of Abraham, to Egypt (Genesis ch.46); and Moses led the Israelites from Egypt towards Canaan.
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According to tradition, Moses was greater in prophecy (Deuteronomy ch.34), while Abraham was the greatest in pioneering the service of God. Moses led the Israelite nation, while Abraham led a smaller family and entourage. Moses lived his life outside Israel, while Abraham lived most of his life in Israel (Canaan). See also the attached Related Link.
The long journey during which Moses led the Israelites out of Egypt and back to Canaan is known as the Exodus.
The Israelite army against the Canaanites was led by Joshua, who succeeded Moses as the leader of the Israelites. Under his command, the Israelites launched a campaign to conquer Canaan, which included significant battles such as the Battle of Jericho. Joshua's leadership was instrumental in the Israelites' success in establishing their presence in the Promised Land.
The Sinai Peninsula.
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Afterwards. Moses' disciple, Joshua, led the Jewish people into Canaan for the first time since Jacob's family of 70 people departed for Egypt according to the Bible.
Yes, Moses led the Exodus with the goal of reaching the Promised Land, which is identified as Canaan in the Bible. The journey was part of God's covenant with the Israelites, who were seeking freedom from slavery in Egypt and a land of their own. However, due to various reasons, including disobedience, Moses himself was not allowed to enter Canaan and viewed it only from afar.
God chose Moses to lead His people out of Egypt to Canaan.