Equalism (I take it this is what you're referring to) is technically both. There are two kinds of equality, equality of opportunity and equality of outcome. Liberal equalists (not necessarily liberals) believe in equality of opportunity, which in the extreme means everyone have exactly the same opportunity, no matter where they come from. Social equalists (not necessarily socialists) believe in equality of outcome, which in the exreme means everyone have exactly the same occupation (not necessarily job) and have exactly the same weekly earnings, no matter what they do to get there. The equalist movement generally consists of liberal equalists.
equality vs justice