SOLUTION: The sum of one-half of a number and three-fourths of the number is 2 more than four-thirds of the number. What is six times that number?

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Question 1035480: The sum of one-half of a number and three-fourths of the number is 2 more than four-thirds of the number. What is six times that number?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x=the number
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%281%2F2%29x%2B%283%2F4%29x=%284%2F3%29x%2B2
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%285%2F4%29x=%284%2F3%29x%2B2
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%2815%2F12%29x=%2816%2F12%29x%2B2
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%28-1%2F12%29x=2%0D%0A.%0D%0A%7B%7B%7Bx=-24
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6x=6(-24)=-144
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ANSWER: Six times the number is -144.
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CHECK:
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%281%2F2%29x%2B%283%2F4%29x=%284%2F3%29x%2B2
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%281%2F2%29%28-24%29%2B%283%2F4%29%28-24%29=%284%2F3%29%28-24%29%2B2
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%28-12%29%2B%28-18%29=%28-32%29%2B2
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-30=-30
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