We cannot all be equally rich - because the earning and spending tendency of people tends to vary. Even if we had a point where everybody starts with the same amount of wealth, inequalities will appear over a period of time. Some people will earn more because they are capable and entrepreneurial - you cannot fault them.
But there's a difference between inequality in being rich, as in someone's being richer than someone else (for example, yourself), and inequality in being poor, as in someone's being poorer than someone else (for example, your neighbor). So it is not about inequality as such. The majority of people wouldn't care less if someone were better off than them as long as they are pretty well off themselves.
And it is a totally different matter in being poor as ultimately you have to deal with issues such as mere sustenance, where being poorer may be bordering on living on the streets and eating leftovers from trashcans. In other words, not all inequalities are born equal, which is kinda obvious, pardon the pun.