SOLUTION: 5/6x-1/6=-1/6x-2/3

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Question 557548: 5/6x-1/6=-1/6x-2/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F6%29x-1%2F6=-%281%2F6%29x-2%2F3 Start with the given equation.


Multiply both sides by the LCD 6 to clear any fractions.


5x-1=-1x-4 Distribute and multiply.


5x=-x-4%2B1 Add 1 to both sides.


5x%2Bx=-4%2B1 Add x to both sides.


6x=-4%2B1 Combine like terms on the left side.


6x=-3 Combine like terms on the right side.


x=%28-3%29%2F%286%29 Divide both sides by 6 to isolate x.


x=-1%2F2 Reduce.


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Answer:

So the solution is x=-1%2F2


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