# How do you solve the equation abs(2x+6)=12?

Mar 18, 2018

$x = 3 \mathmr{and} x = - 9$

#### Explanation:

Here,
$| 2 x + 6 | = 12$

$\implies 2 x + 6 = 12 \mathmr{and} 2 x + 6 = - 12$

Adding (-6) to the both sides of each equation,

=>2x+cancel(6)+(cancel((-)6)=12+(-6)=12-6

$\mathmr{and} 2 x + \cancel{6} + \left(\cancel{- 6}\right) = - 12 + \left(- 6\right) = - 12 - 6$

$\implies 2 x = 6 \mathmr{and} 2 x = - 18$

Dividing both sides of each equation by 2,we get

$\frac{\cancel{2} x}{\cancel{2}} = {\cancel{6}}^{3} / \cancel{2} \mathmr{and} \frac{\cancel{2} x}{\cancel{2}} = - {\cancel{18}}^{9} / \cancel{2}$

$x = 3 \mathmr{and} x = - 9$