Use 'back out' to describe someone breaking a promise or commitment. She backed out of the volunteer work she promised to do.
Pro Tip 2/3
Last Minute Change
'Back out' often implies a change of mind occurred unexpectedly or late in the process. He was ready to sign the contract but backed out at the last minute.
Pro Tip 3/3
Negative Connotation
The phrase can carry a negative tone, suggesting unreliability or indecision. Backing out now will damage our reputation.