counterbalance vs even up

counterbalance is a noun but even up is not a noun.

Word	Noun	Adjective	Verb	Adverb
counterbalance	Yes	No	Yes	No
even up	No	No	Yes	No

As verbs, counterbalance and even up are synonyms defined as:

Other synonyms of counterbalance include compensate, correct, even off, even out, make up.

counterbalance (noun)	even up (noun)
a weight that balances another weight
a compensating equivalent
equality of distribution

counterbalance (verb)	even up (verb)
oppose and mitigate the effects of by contrary actions	even up the edges of a stack of paper, in printing
contrast with equal weight or force	adjust for
adjust for