SOLUTION: A number less 5 is the same as one fourth of the number plus 3. What is the number?

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Question 664199: A number less 5 is the same as one fourth of the number plus 3. What is the number?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x -5 = 1/4x + 3
Combine like terms
x - 1/4x = 5 + 3
Create common denominator
x(4/4) - 1/4x = 8
3/4x = 8
Divide both sides by 3/4, which is the same as multiplying both sides by 4/3
x = 8(4/3) = 32/3
...
Check
32/3 - 5 = 32/3 - 5(3/3) = 32/3 - 15/3 = 17/3
1/4(32/3) + 3 = 8/3 + 3 = 8/3 + 3(3/3) = 8/3 + 9/3 = 17/3
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