# How do you solve abs(2x + 3) - 6 = 11 ?

Aug 17, 2015

$x = 7$ or $x = - 10$

#### Explanation:

$| 2 x + 3 | = 17$

Method 1:
$2 x + 3 = 17 , \text{ if } 2 x + 3 > 0$
$x = 7$

$- \left(2 x + 3\right) = 17 , \text{ if } 2 x + 3 < 0$
$x = - 10$

Method 2:
${\left(2 x + 3\right)}^{2} = {17}^{2}$
${x}^{2} + 3 x - 70 = 0$
$\left(x - 7\right) \left(x + 10\right) = 0$
$x = 7$ or $x = - 10$