SOLUTION: 2(x-7)-4-x<8x+32

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Question 546082: 2(x-7)-4-x<8x+32
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28x-7%29-4-x%3C8x%2B32 Start with the given inequality.


2x-14-4-x%3C8x%2B32 Distribute.


x-18%3C8x%2B32 Combine like terms on the left side.


x%3C8x%2B32%2B18 Add 18 to both sides.


x-8x%3C32%2B18 Subtract 8x from both sides.


-7x%3C32%2B18 Combine like terms on the left side.


-7x%3C50 Combine like terms on the right side.


x%3E%2850%29%2F%28-7%29 Divide both sides by -7 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-50%2F7 Reduce.


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Answer:

So the solution is x%3E-50%2F7