There is no such thing as equality in nature. Only bureaucracies and liberal government can bring about a semblance of faux equality. And that for only a short period of time. Equality is the unique madness of liberalism.
This madness destroys any culture it infects.
Then…the barbarians arrive.
I would say that Communism seeks to make property communal with all peoples equal.
This is impossible. There are no humans who are this honorable, selfless, altruistic. Communism fails not because it is a bad system. Communism fails because humanity has no ability to cooperate in such a system.
Before the Cult of the Nazarene became the perversion that is Romanized Christianity, the earliest “Christians” operated on this communal principle. All gave what they had and all shared. If someone held back and gave only halfheartedly to the community, that person was ostracized and expelled.
Communism is a valid theory. It is not a valid system. Not because it is inherently good or evil but because humanity is inherently egotistical, exploitative, self-centered. For most of us, it takes great tragedy for us to lift our eyes from our own struggles, trials and tribulations and to aid or care for the other. For communism to work, humanity would have to completely and collectively unclasp their egos and join hands. This is all but impossible.