SOLUTION: 46-(2x+1)<3(x+5)+x

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Question 527123: 46-(2x+1)<3(x+5)+x
Answer by jim_thompson5910(35256) About Me  (Show Source):
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46-%282x%2B1%29%3C3%28x%2B5%29%2Bx Start with the given inequality.


46-2x-1%3C3x%2B15%2Bx Distribute.


-2x%2B45%3C3x%2B15%2Bx Combine like terms on the left side.


-2x%2B45%3C4x%2B15 Combine like terms on the right side.


-2x%3C4x%2B15-45 Subtract 45 from both sides.


-2x-4x%3C15-45 Subtract 4x from both sides.


-6x%3C15-45 Combine like terms on the left side.


-6x%3C-30 Combine like terms on the right side.


x%3E%28-30%29%2F%28-6%29 Divide both sides by -6 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E5 Reduce.


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Answer:

So the solution is x%3E5


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