SOLUTION: (2x-1/6)-2=(1/9)x-3

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Question 124949: (2x-1/6)-2=(1/9)x-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x-1%29%2F6-2=%281%2F9%29x-3 Start with the given equation



%2818%29%28%282x-1%29%2F6-2%29=%2818%29%28%281%2F9%29x-3%29 Multiply both sides by the LCM of 18. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



3%282x-1%29-36=2x-54 Distribute and multiply the LCM to each side



6x-3-36=2x-54 Distribute again


6x-39=2x-54 Combine like terms on the left side


6x=2x-54%2B39Add 39 to both sides


6x-2x=-54%2B39 Subtract 2x from both sides


4x=-54%2B39 Combine like terms on the left side


4x=-15 Combine like terms on the right side


x=%28-15%29%2F%284%29 Divide both sides by 4 to isolate x



x=-15%2F4 Reduce

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Answer:
So our answer is x=-15%2F4 (which is approximately x=-3.75 in decimal form)