What most people fail to understand is that inequality is a constant. There will always be inequality of some kind.
Historically, all major civilizations have reset inequality in either one of two ways.
1) forced wealth redistribution (war)
2) voluntary wealth redistribution (taxation, public education, free healthcare, food, etc).
I recommend reading Will & Ariel Durant, Thomas Sowell & Jared Diamond though there are other authors who have wrote on the subjects of inequality.