# How do you solve 2abs(4x - 6) - 8 = 12?

Jul 12, 2018

$x = - 1$ or $x = 4$

#### Explanation:

2|4x−6|−8=12

therefore 2|4x−6|=20

therefore |4x−6|=10

Now, $| a | = b \setminus \iff a = \setminus \pm b$, so either

$4 x - 6 = 10 \setminus \iff 4 x = 16 \setminus \iff x = 4$

or

$4 x - 6 = - 10 \setminus \iff 4 x = - 4 \setminus \iff x = - 1$