SOLUTION: 2x/3 - 2< or equal to 8 - x

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Question 115597: 2x/3 - 2< or equal to 8 - x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2F3-2%3C=8-1x Start with the given inequality



%283%29%282x%2F3-2%29%3C=%283%29%288-1x%29 Multiply both sides by the LCM of 3. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



2x-6%3C=24-3x Distribute and multiply the LCM to each side



2x%3C=24-3x%2B6Add 6 to both sides


2x%2B3x%3C=24%2B6 Add 3x to both sides


5x%3C=24%2B6 Combine like terms on the left side


5x%3C=30 Combine like terms on the right side


x%3C=%2830%29%2F%285%29 Divide both sides by 5 to isolate x



x%3C=6 Divide

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Answer:
So our answer is x%3C=6