Legally, there are two diametrically opposed definitions of 'equality'. There is 'formal equality' or 'equality of opportunity' and there is 'opportunity of outcome'.
Equality of Opportunity means that the same rules apply to everyone in the same way.
Equality of Outcome ("equity") means everyone ends up in the same place.
The reason that they are incompatible and opposed, is that the result of applying the same ruleset to each collection of wildly different variables known as individuality will necessarily lead to different results.
If you insist on equal outcome for everyone, then you need different rules for each individual so they all end up in the same place!