SOLUTION: hard: -5X+2+7X>-2(x-1) next step: -2x+2>-2(x-1) right?

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Question 115232: hard:
-5X+2+7X>-2(x-1)

next step:
-2x+2>-2(x-1)
right?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-5x%2B2%2B7x%3E-2%28x-1%29 Start with the given inequality



-5x%2B2%2B7x%3E-2x%2B2 Distribute


2x%2B2%3E-2x%2B2 Combine like terms on the left side. Remember -5x+7x is 2x (not -2x) since 7 is greater than 5. In other words, it should really look like 7x-5x=2x


2x%3E-2x%2B2-2Subtract 2 from both sides


2x%2B2x%3E2-2 Add 2x to both sides


4x%3E2-2 Combine like terms on the left side


4x%3E0 Combine like terms on the right side


x%3E%280%29%2F%284%29 Divide both sides by 4 to isolate x



x%3E0 Divide

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Answer:
So our answer is x%3E0