As a person casts off worn-out clothes and puts on others that are new, so the embodied one casts off worn-out bodies and enters others that are new.
Explanation
Krishna is consoling Arjuna, who is overcome with grief at the thought of killing his kinsmen. He compares the change of bodies to the change of clothes: the embodied self (dehin, the self that inhabits a body) remains while the body is replaced. The verse expresses the teaching of rebirth, and traditions broadly agree on this, though they differ on the nature of the self, whether it is wholly one with Brahman or distinct from it.