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

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Answer 1 · 2016-08-01T15:37:30

There are 2 solutions.

$x= -28/3 and x=4$

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

Suppose $3x+8=20$ then $x=12/3 = 4$

Suppose $3x+8=-20$ then $x=-28/3$

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Check

$|3(-28/3)+8|" " =" " |-28+8|" " =" "+20$

$|color(white)(.)3(4)+8color(white)(.)|" "=" "|color(white)(.)12+8color(white)(.)|" "=" "+20$

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