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

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Question 526734: 1/6-x/2=x-5/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
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1%2F6-x%2F2=x-5%2F3 Start with the given equation.


6%281%2Fcross%286%29-x%2Fcross%282%29%29=6%28x-5%2Fcross%283%29%29 Multiply both sides by the LCD 6 to clear any fractions.


1-3x=6x-10 Distribute and multiply.


-3x=6x-10-1 Subtract 1 from both sides.


-3x-6x=-10-1 Subtract 6x from both sides.


-9x=-10-1 Combine like terms on the left side.


-9x=-11 Combine like terms on the right side.


x=%28-11%29%2F%28-9%29 Divide both sides by -9 to isolate x.


x=11%2F9 Reduce.


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Answer:

So the solution is x=11%2F9


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