Question

In the equation `|x + 6|=2x`, what is x?

Answer 1

`x=|6| or x=|-2|`

Explanation:

The first step is to split the equation in two pieces.
`-(x+6)=2x` and `(x+6)=2x`

After that, you would treat each as an equation. Distribute the -1 to each side of the 1 equation. `-(x+6)=2x => -x+ -6=2x`

So solve as a normal algebraic equation for each side. After that you end up with `x=|6| and x=|-2|`