SOLUTION: Solve and check for extraneous solutions. 2|x+1|-3= x-2

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Question 1094023: Solve and check for extraneous solutions.
2|x+1|-3= x-2
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
2abs%28x%2B1%29-3=x-2
2abs%28x%2B1%29=x%2B1
2abs%28x%2B1%29-x=1


If x%2B1%3E=0, then 2%28x%2B1%29-x=1
2x%2B2-x=1
x%2B2=1
x=-1

If x%2B1%3C0 then 2%28-x-1%29-x=1
-2x-2-x=1
-3x-2=1
-3x=3
x=-1

highlight%28x=-1%29

-
check
2%2Aabs%28-1%2B1%29-3=-1-2
2%2A0-3=-3
-3=-3
solutionfound works.