SOLUTION: 5(2x-5)+9=-5(-4x-1)+9

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Question 741886: 5(2x-5)+9=-5(-4x-1)+9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%282x-5%29%2B9=-5%28-4x-1%29%2B9 Start with the given equation.


10x-25%2B9=20x%2B5%2B9 Distribute.


10x-16=20x%2B5%2B9 Combine like terms on the left side.


10x-16=20x%2B14 Combine like terms on the right side.


10x=20x%2B14%2B16 Add 16 to both sides.


10x-20x=14%2B16 Subtract 20x from both sides.


-10x=14%2B16 Combine like terms on the left side.


-10x=30 Combine like terms on the right side.


x=%2830%29%2F%28-10%29 Divide both sides by -10 to isolate x.


x=-3 Reduce.


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Answer:

So the solution is x=-3