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

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Answer 1 · 2017-03-19T03:42:02

$x = {-0.6909, 0.1455}$

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

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

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

Equation 1:

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

Equation 2:

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

Therefore, x can either be 0.1455 or -0.6909.

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