SOLUTION: Nine more than the product of a certain number and two gives the same result as the quotient of the same number and three, decreased by six?

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Question 558213: Nine more than the product of a certain number and two gives the same result as the quotient of the same number and three, decreased by six?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Write an equation for what it says:
:
Nine more than the product of a certain number and two gives the same result as the quotient of the same number and three, decreased by six?
2x + 9 = x%2F3 - 6
2x = x%2F3 - 6 - 9
2x = x%2F3 - 15
get rid of the denominator, mult thru by3, results
3(2x) = x - 3(15)
6x - x = -45
5x = -45
x = -45/5
x = -9 is the number
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Check solution in original equation
2(-9) + 9 = %28-9%29%2F3 - 6
-18 + 9 = -3 - 6