SOLUTION: I need to solve this (1/x-1)-(1/x)=1/6x I need help finding the LCD

SOLUTION: I need to solve this (1/x-1)-(1/x)=1/6x I need help finding the LCD

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Question 435286: I need to solve this
(1/x-1)-(1/x)=1/6x
I need help finding the LCD
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
I assume the RHS is 1/(6x) and not (1/6)x. If so, then we solve in the following way:

To obtain a common denominator multiply the two terms together, which gives:

Collect terms in the numerator:

Cross-multiply and solve for x:

Check:
1/6 - 1/7 = 1/42
7/42 - 6/42 = 1/42
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