pull back vs move back

pull back and move back both are verbs.

Word	Noun	Adjective	Verb	Adverb
pull back	No	No	Yes	No
move back	No	No	Yes	No

As verbs, pull back and move back are synonyms defined as:

Other synonyms of pull back include draw back, pull away, recede, retire, retreat, withdraw.

pull back (verb)	move back (verb)
make a retreat from an earlier commitment or activity	pull back or move away or backward
move to a rearward position; pull towards the back
stretch back a bowstring (on an archer's bow)
use a surgical instrument to hold open (the edges of a wound or an organ)
pull back or move away or backward