SOLUTION: What is 1/4x-7=1/3x+8 ?

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Question 118995This question is from textbook Holt Pre-Algebra Homework and Practice Workbook
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What is 1/4x-7=1/3x+8 ? This question is from textbook Holt Pre-Algebra Homework and Practice Workbook

Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F4%29x-7=%281%2F3%29x%2B8 Start with the given equation



%2812%29%28%281%2F4%29x-7%29=%2812%29%28%281%2F3%29x%2B8%29 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



3x-84=4x%2B96 Distribute and multiply the LCM to each side



3x=4x%2B96%2B84Add 84 to both sides


3x-4x=96%2B84 Subtract 4x from both sides


-x=96%2B84 Combine like terms on the left side


-x=180 Combine like terms on the right side


x=%28180%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=-180 Divide

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Answer:
So our answer is x=-180

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X/4-7=X/3+8
X/4-X/3=8+7
(3X-4X)/12=15
-X/12=15 CROSS MULTIPLY.
-X=12*15
-X=180
X=-180 ANSWER.
PROOF.
-180/4-7=-180/3+8
-45-7=-60+8
-52=-52