SOLUTION: Solve the equation and write the solution set. Show your work. |3x-5|+2=5x-1

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Question 908845: Solve the equation and write the solution set. Show your work.
|3x-5|+2=5x-1

Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
|3x-5|+2=5x-1



CASE, 3x-5 positive or zero.







CASE, 3x-5 NEGATIVE.








SOLUTION: OR , ... but these do not work.

CHECK SOLUTION:
-------------------------------
|3x-5|+2=5x-1


, clearly FALSE.
-

, clearly FALSE.
, TRUE.

RESULT: -1 fails; but +1 works.
ANSWER:

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
answer is +1
and it works
|3x-5|+2=5x-1
|3(1)-5|+2=5(1)-1
4=4

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