SOLUTION: 3(x-6)+8= 5(x+2)-12

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Question 385286: 3(x-6)+8= 5(x+2)-12
Answer by jim_thompson5910(35256) About Me  (Show Source):
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3%28x-6%29%2B8=5%28x%2B2%29-12 Start with the given equation.


3x-18%2B8=5x%2B10-12 Distribute.


3x-10=5x%2B10-12 Combine like terms on the left side.


3x-10=5x-2 Combine like terms on the right side.


3x=5x-2%2B10 Add 10 to both sides.


3x-5x=-2%2B10 Subtract 5x from both sides.


-2x=-2%2B10 Combine like terms on the left side.


-2x=8 Combine like terms on the right side.


x=%288%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=-4 Reduce.


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Answer:

So the solution is x=-4


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