move back vs pull back

move back and pull back both are verbs.

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

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

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

move back (verb)	pull back (verb)
pull back or move away or backward	make a retreat from an earlier commitment or activity
	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