left-wing vs left-of-center

left-wing and left-of-center both are adjectives.

Word	Noun	Adjective	Verb	Adverb
left-wing	No	Yes	No	No
left-of-center	No	Yes	No	No

As adjectives, left-wing and left-of-center are synonyms defined as:

left-wing and left-of-center: believing in or supporting tenets of the political left

Other synonyms of left-wing include leftist.

left-wing (adjective)	left-of-center (adjective)
believing in or supporting tenets of the political left	believing in or supporting tenets of the political left