SOLUTION: How would you solve this equation? 2/3x-6-1/36=-3/4x-8

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Question 125994: How would you solve this equation?
2/3x-6-1/36=-3/4x-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2F3%29x-6-1%2F36=-%283%2F4%29x-8 Start with the given equation



%2836%29%28%282%2F3%29x-6-1%2F36%29=%2836%29%28-%283%2F4%29x-8%29 Multiply both sides by the LCM of 36. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



24x-216-1=-27x-288 Distribute and multiply the LCM to each side



24x-217=-27x-288 Combine like terms on the left side


24x=-27x-288%2B217Add 217 to both sides


24x%2B27x=-288%2B217 Add 27x to both sides


51x=-288%2B217 Combine like terms on the left side


51x=-71 Combine like terms on the right side


x=%28-71%29%2F%2851%29 Divide both sides by 51 to isolate x



x=-71%2F51 Reduce

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Answer:
So our answer is x=-71%2F51 (which is approximately x=-1.3921568627451 in decimal form)