# How do you solve abs(3x+8)=20?

Aug 1, 2016

There are 2 solutions.

$x = - \frac{28}{3} \mathmr{and} x = 4$

#### Explanation:

Write as $3 x + 8 = | \pm 20 |$ and solve

Suppose $3 x + 8 = 20$ then $x = \frac{12}{3} = 4$

Suppose $3 x + 8 = - 20$ then $x = - \frac{28}{3}$

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Check

$| 3 \left(- \frac{28}{3}\right) + 8 | \text{ " =" " |-28+8|" " =" } + 20$

$| \textcolor{w h i t e}{.} 3 \left(4\right) + 8 \textcolor{w h i t e}{.} | \text{ "=" "|color(white)(.)12+8color(white)(.)|" "=" } + 20$