Question

How do you solve `abs(-2x+4)=6`?

Answer 1

`x=-1` or `x=5`

Explanation:

We have to solve`|-2x+4|=6`

writing this equation as

`2|-x+2|=6`
so `|x-2|=3`

If `x>=2` then we get `x-2=3` so `x=5`

if `x<2` then we get `-x+2=3` so `x=-1`