Anarchy is equality, period! An in fact, its original meaning comes from the two Greek words “an” (without) “archy” (leadership). It implies that all human beings are created as equals, and that none have any more or less right to govern others - In fact, none have any rights to govern at all!
Anarchy does not imply lawlessness, even though many will try to convince you of that. It does not imply chaos, although many will try to convince you of that too. Neither does it imply marxism or communism, in fact, quite the contrary, since in an anarchistic society, nobody have the right to coerce you into paying as much as a cent in taxes - It simply means equality for all, period.
Anarchy is when everybody starts at the same position in life, and are given a chance to run, and the person who first finishes the run first becomes the winner. All other forms of politics, implies the opposite, trying to give one group some sort of advantage, by giving them a head start of some sort - Either the weak (socialism) or the strong (capitalism).
Anarchy is the point in time when you tell yourself; “Why do I accept that this person, entity or organisation have some sort of divine right to rule over me and my brothers and sisters?”