SOLUTION: |3X+5|-2X=3X+4

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Question 337978: |3X+5|-2X=3X+4
Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
Before attacking any absolute value equation, be sure that the absolute value is the only thing on the left side of the equation. So the first thing you need to do is add 2x to both sides leaving you with:
abs%283x%2B5%29=5x%2B4
Then remove the bars and set up two equations, one the same and the second one made entirely negative on the right side of the equation:
3x%2B5=5x%2B4 and 3x%2B5=-%285x%2B4%29
Then solve each equation separately, and you get
x=-9%2F8 and x=1%2F2
If you have further questions, please check out my facebook page: Kate Calendrillo, tutor. Feel free to post any question there.