SOLUTION: -2(X-4)-3X < -(4X+1)+2X

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Question 186457: -2(X-4)-3X < -(4X+1)+2X
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-2%28x-4%29-3x%3C-1%284x%2B1%29%2B2x Start with the given inequality.


-2x%2B8-3x%3C-4x-1%2B2x Distribute.


-5x%2B8%3C-4x-1%2B2x Combine like terms on the left side.


-5x%2B8%3C-2x-1 Combine like terms on the right side.


-5x%3C-2x-1-8 Subtract 8 from both sides.


-5x%2B2x%3C-1-8 Add 2x to both sides.


-3x%3C-1-8 Combine like terms on the left side.


-3x%3C-9 Combine like terms on the right side.


x%3E%28-9%29%2F%28-3%29 Divide both sides by -3 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E3 Reduce.


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Answer:

So the answer is x%3E3