How do you solve abs(x+3) = 5?

1 Answer
Jim G.
Aug 2, 2018

x=-8" or "x=2

Explanation:

"the expression inside the absolute value can be positive"
"or negative, hence there are 2 possible solutions"

x+3=color(red)(+-)5

x+3=5rArrx=5-3=2

x+3=-5rArrx=-5-3=-8

color(blue)"As a check"

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x=2to|2+3|=|5|=5

x=-8to|-8+3|=|-5|=5

x=-8" or "x=2" are the solutions"

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