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#