Princeton's WordNet

1. back up, back off, back down(verb)

   move backwards from a certain position

   "The bully had to back down"

2. chicken out, back off, pull out, back down, bow out(verb)

   remove oneself from an obligation

   "He bowed out when he heard how much work was involved"

Kernerman English Learner's Dictionary

1. back down(verb)æk

   to withdraw from an argument

   Both sides had backed down.

Wiktionary

1. back down(Verb)

   To take a less aggressive position in a conflict than one previously has or has planned to.

• toegeeAfrikaans
• يُعَبِّر عن رأيِهِArabic
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