SOLUTION: Solve the equation 3/4x-2=5+2/3x Can someone please help me with this problem?

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Question 113510: Solve the equation
3/4x-2=5+2/3x
Can someone please help me with this problem?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2F4%29x-2=5%2B%282%2F3%29x Start with the given equation



%2812%29%28%283%2F4%29x-2%29=%2812%29%285%2B%282%2F3%29x%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)



9x-24=60%2B8x Distribute and multiply the LCM to each side



9x=60%2B8x%2B24Add 24 to both sides


9x-8x=60%2B24 Subtract 8x from both sides


x=60%2B24 Combine like terms on the left side


x=84 Combine like terms on the right side

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Answer:
So our answer is x=84