SOLUTION: Solve the equation and write the solution set |4x-8|-3x=6x+2

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Question 1016387: Solve the equation and write the solution set
|4x-8|-3x=6x+2
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for the two conditions separately, 4x-8 positive or zero; and 4x-8 negative. Combine the solutions found using OR, but first check to see if either solution fails in the original equation.

4x-8-3x=6x%2B2
x-8=6x%2B2
-8=5x%2B2
-10=5x
highlight%28x=-2%29

-%284x-8%29-3x=6x%2B2
-4x%2B8-3x=6x%2B2
-7x-8=6x%2B2
-13x-8=2
-13x=10
x=-10%2F13----this seems to fail upon check.

You can try solving it again yourself just to see if you find any different.