Question 712556: |x+3|-|5-x|=|x+2|
Answer by tommyt3rd(5050)   (Show Source):
You can put this solution on YOUR website! For convenience we write: |x+3|=|x+2|+|x-5|
We'll solve by checking the following cases:
+ + +
+ + -
+ - +
+ - -
+++
x+3=x+2+x-5
x=6 (yes-solution)
++-
x+3=x+2-(x-5)
x=4 (yes-solution)
+-+
x+3=-(x+2)+x-5
x=-10 (no-not a solution)
+--
x+3=-(x+2)-(x-5)
x=0 (no-not a solution)
solution {4, 6}
:)
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