וְהָיָ֗ה כְּצֵ֤את מֹשֶׁה֙ אֶל־הָאֹ֔הֶל יָק֙וּמוּ֙ כָּל־הָעָ֔ם וְנִ֨צְּב֔וּ אִ֖ישׁ פֶּ֣תַח אָהֳל֑וֹ וְהִבִּ֙יטוּ֙ אַחֲרֵ֣י מֹשֶׁ֔ה עַד־בֹּא֖וֹ הָאֹֽהֱלָה׃
And it came to pass, when Moses went out unto the Tent, that all the people rose up, and stood, every man at his tent door, and looked after Moses, until he was gone into the Tent.
Rashi on Exodus
והיה — This expresses an action continually going on (“and it used to be”),
Siftei Chakhamim
To go to the tent. Rashi is answering the question: Why is it written, “Whenever Moshe went out to the tent”? It should say: “Whenever Moshe entered the tent.” Rashi answers that “went out” refers to Moshe’s exit from the Israelite camp, not Moshe’s tent.
Chizkuni
והיה כצאת משה, “it would be that whenever Moses came out, etc.;” this describes Moses leaving the camp of the Israelites in order to return to his private residence (tent).'