# How do you solve abs(22x+6)=9.2?

Mar 19, 2017

$x = \left\{- 0.6909 , 0.1455\right\}$

#### Explanation:

Since the absolute value of $22 x + 6$ is 9.2, we know that either:

$22 x + 6 = 9.2$ or $22 x + 6 = - 9.2$

Therefore, solving these equations will give the two solutions to the original absolute value equation.

Equation 1:

$22 x + 6 = 9.2$
$22 x = 3.2$
$x = 0.1455$

Equation 2:

$22 x + 6 = - 9.2$
$22 x = - 15.2$
$x = - 0.6909$

Therefore, x can either be 0.1455 or -0.6909.