# How do you solve | 4x - 6 | -7 = -12?

Apr 17, 2017

$\frac{1}{4}$

#### Explanation:

$\left(4 x - 6\right) - 7 = - 12$
$4 x - 6 = - 12 + 7$
$4 x = - 5 + 6$
$4 x = 1$
$x = \frac{1}{4}$

Apr 17, 2017

color(green)(x=1/4 or color(green)(x=2 3/4

#### Explanation:

$| 4 x - 6 | - 7 = - 12$

$\therefore | 4 x - 6 | = - 12 + 7$

$\therefore | 4 x - 6 | = - 5$ or $| 4 x - 6 | = 5$

$\therefore 4 x = 6 - 5$ or $4 x = 5 + 6$

$\therefore 4 x = 1$ or $4 x = 11$

$\therefore x = \frac{1}{4}$ or $x = \frac{11}{4}$

:.color(green)(x=1/4 or color(green)(x=2 3/4