Question

How do you solve the equation `abs(x-a)=b`?

Answer 1

`x=a+b` or `x=a-b` if `b>=0`.

Explanation:

`|x- a|=b` means that

either `x-a=b` i.e. `x=a+b`

or `x-a=-b` i.e. `x=a-b`

Note that as absolute value of any number is always `0` or positive, hence we should have `b>=0` and if `b<0`, there is no solution.