The USSR, North Korea, and Cuba all have/had lower levels of inequality than the west...by making everyone poor. That is the easy way to reduce inequality/
What the left fails to realize is that absolute inequality doesn't matter. The real questions is the vast majority feel better off? In China, hundreds of millions are wealthier than they were two generations ago. They have increased absolute inequaliry and increased equality at the same time.
In fact, inequality as a concept is a ridiculous measure. What does equality in that context even mean? That everyone should make the same amount, no matter the ability or position? 90% of humanity would vehemently disagree with that. In fact, people try to flee countries who implement that sort of resource allocation.