SOLUTION: What is the solution of 3(x-2)-2(x+7)=2x+17?

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Question 640636: What is the solution of 3(x-2)-2(x+7)=2x+17?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-2%29-2%28x%2B7%29=2x%2B17 Start with the given equation.


3x-6-2x-14=2x%2B17 Distribute.


x-20=2x%2B17 Combine like terms on the left side.


x=2x%2B17%2B20 Add 20 to both sides.


x-2x=17%2B20 Subtract 2x from both sides.


-x=17%2B20 Combine like terms on the left side.


-x=37 Combine like terms on the right side.


x=%2837%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-37 Reduce.


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Answer:

So the solution is x=-37