Question

How do you solve `|x – 6| = 10`?

Answer 1

`x=16` or `x=-4`

Explanation:

`abs(x-6)=10`
In absolute values, the interior could be either positive or negative, so we must consider both cases.
`x-6=10` or `-(x-6)=10`
`x-6=10` or `-x+6=10`
Isolate x from all other numbers:
`x=16` or `-x=4`
`x=16` or `x=-4`