SOLUTION: How is 3-2(x-3)=5+(x-2)?

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Question 580983: How is 3-2(x-3)=5+(x-2)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3-2%28x-3%29=5%2B%28x-2%29 Start with the given equation.


3-2x%2B6=5%2Bx-2 Distribute.


-2x%2B9=5%2Bx-2 Combine like terms on the left side.


-2x%2B9=x%2B3 Combine like terms on the right side.


-2x=x%2B3-9 Subtract 9 from both sides.


-2x-x=3-9 Subtract x from both sides.


-3x=3-9 Combine like terms on the left side.


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


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


x=2 Reduce.


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Answer:

So the solution is x=2