SOLUTION: Please solve. Thank you. 3(x-2)-1<2-5(x+6)

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Question 323900: Please solve. Thank you.
3(x-2)-1<2-5(x+6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x-2%29-1%3C2-5%28x%2B6%29 Start with the given inequality.


3x-6-1%3C2-5x-30 Distribute.


3x-7%3C2-5x-30 Combine like terms on the left side.


3x-7%3C-5x-28 Combine like terms on the right side.


3x%3C-5x-28%2B7 Add 7 to both sides.


3x%2B5x%3C-28%2B7 Add 5x to both sides.


8x%3C-28%2B7 Combine like terms on the left side.


8x%3C-21 Combine like terms on the right side.


x%3C%28-21%29%2F%288%29 Divide both sides by 8 to isolate x.


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Answer:

So the solution is x%3C-21%2F8