SOLUTION: what is the solution set to absolute value of 5x+1/3= absolute value of 2x-6/5? i got 23/-8, 23/-19 but my friend says its wrong

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Question 616707: what is the solution set to absolute value of 5x+1/3= absolute value of 2x-6/5? i got 23/-8, 23/-19 but my friend says its wrong
Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
5x+1/3= absolute value of 2x-6/5?
Is it (5x+1)/3 ? or 5x + (1/3)?
Same for the RH side.

Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
what is the solution set to absolute value of 5x+1/3= absolute value of 2x-6/5? i got 23/-8, 23/-19 but my friend says its wrong
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5x+1/3=|2x-6/5|
solve for 2 conditions:
5x+1/3=2x-6/5
3x=-6/5-1/3=-18/15-5/15=-23/15
x=-23/45
or
5x+1/3=-(2x-6/5)=-2x+6/5
7x=6/5-1/3=18/15-5/15=13/15
x=13/105