SOLUTION: -1/6(x-12)+1/2(x+2)=x+15

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Question 178327: -1/6(x-12)+1/2(x+2)=x+15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-%281%2F6%29%28x-12%29%2B%281%2F2%29%28x%2B2%29=x%2B15 Start with the given equation.


-2%28x-12%29%2B6%28x%2B2%29=12x%2B180 Multiply every term (that's not in a set of parenthesis) by the LCD 12 to clear the fractions.


-2x%2B24%2B6x%2B12=12x%2B180 Distribute.


4x%2B36=12x%2B180 Combine like terms on the left side.


4x=12x%2B180-36 Subtract 36 from both sides.


4x-12x=180-36 Subtract 12x from both sides.


-8x=180-36 Combine like terms on the left side.


-8x=144 Combine like terms on the right side.


x=%28144%29%2F%28-8%29 Divide both sides by -8 to isolate x.


x=-18 Reduce.


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Answer:

So the answer is x=-18