SOLUTION: When two-thirds of a number is added to one-fourth of the same number, the result is 8 more than the original number. Find the number.

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Question 173407: When two-thirds of a number is added to one-fourth of the same number, the result is 8 more than the original number. Find the number.
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
The unknown number is x
The equation to solve is
2/3x+1/4x=x+8
The lcd is 12
Therefore multiply each term by 12
8x+3x=12x+96
simplfy terms

11x=12x+96

Subtract 12x from both sides
-x=96
divide both sides by -1
x=-96

Let's doublecheck our answer
(2(-96)/3} +(-96/4)=-96+8
-64-24=-88