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

Jul 13, 2018

$x = - 1$ or $x = 5$

#### Explanation:

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

writing this equation as

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

If $x \ge 2$ then we get $x - 2 = 3$ so $x = 5$

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