SOLUTION: Solve for x. 1/4x+1/3=1/3x-2/3. I am studying for my final and I can't seem to figure this out. I got 3 for the answer, but my answer sheet sayes 12. Thanks

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice  -> Fraction to Decimal conversion -> SOLUTION: Solve for x. 1/4x+1/3=1/3x-2/3. I am studying for my final and I can't seem to figure this out. I got 3 for the answer, but my answer sheet sayes 12. Thanks      Log On

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Question 79580: Solve for x. 1/4x+1/3=1/3x-2/3. I am studying for my final and I can't seem to figure this out. I got 3 for the answer, but my answer sheet sayes 12. Thanks
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%281%2F4%29x%2B1%2F3+=+%281%2F3%29x-2%2F3 First, multiply through by 12 (the LCD) to clear the fractions.
12%28%281%2F4%29x%2B1%2F3%29+=+12%28%281%2F3x%29-2%2F3%29 Simplify.
3x%2B4+=+4x-8 Subtract 3x from both sides.
4+=+x-8 Add 8 to both sides.
12+=+x Your answer sheet is correct.