SOLUTION: -2|5k+3|+8=4

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Question 905708: -2|5k+3|+8=4
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Divide both sides by -2:

abs%285k%2B3%29-4=-2

abs%285k%2B3%29=2%2B4
highlight_green%28abs%285k%2B3%29=2%29

5k+3 nonnegative,
5k%2B3=2
5k=-1
k=-1%2F5

5k+3 negative,
-5k-3=2
-5k=5
k=-1

highlight%28k=-1%2F5%29 OR highlight%28k=-1%29