SOLUTION: solve for linear equations 3-4(x+5)+1=2(x-5)+9

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Question 102038: solve for linear equations
3-4(x+5)+1=2(x-5)+9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3-4%28x%2B5%29%2B1=2%28x-5%29%2B9 Start with the given equation


3-4x-20%2B1=2x-10%2B9 Distribute



-4x-16=2x-10%2B9 Combine like terms on the left side


-4x-16=2x-1 Combine like terms on the right side


-4x=2x-1%2B16Add 16 to both sides


-4x-2x=-1%2B16 Subtract 2x from both sides


-6x=-1%2B16 Combine like terms on the left side


-6x=15 Combine like terms on the right side


x=%2815%29%2F%28-6%29 Divide both sides by -6 to isolate x



x=-5+%2F+2 Reduce

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Answer:
So our answer is x=-5+%2F+2 (which is x=-2.5 in decimal form)