SOLUTION: 2(x-3)-3(x+5)=3(x-2)-7

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Question 114668: 2(x-3)-3(x+5)=3(x-2)-7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28x-3%29-3%28x%2B5%29=3%28x-2%29-7 Start with the given equation



2x-6-3x-15=3x-6-7 Distribute


-x-21=3x-6-7 Combine like terms on the left side


-x-21=3x-13 Combine like terms on the right side


-x=3x-13%2B21Add 21 to both sides


-x-3x=-13%2B21 Subtract 3x from both sides


-4x=-13%2B21 Combine like terms on the left side


-4x=8 Combine like terms on the right side


x=%288%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=-2 Divide

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Answer:
So our answer is x=-2