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

Question 118995This question is from textbook Holt Pre-Algebra Homework and Practice Workbook
:
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) (Show Source): You can put this solution on YOUR website!

Start with the given equation

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)

Distribute and multiply the LCM to each side

Add 84 to both sides

Subtract 4x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by -1 to isolate x

Divide

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Answer:
So our answer is

Answer by checkley71(8403) (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

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