document.write( "Question 435286: I need to solve this
\n" ); document.write( "(1/x-1)-(1/x)=1/6x
\n" ); document.write( "I need help finding the LCD \n" ); document.write( "

Algebra.Com's Answer #301305 by htmentor(1343) $\"\"$ $\"About$

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:
\n" ); document.write( " $\"1%2F%28x-1%29+-+1%2Fx+=+1%2F6x\"$
\n" ); document.write( "To obtain a common denominator multiply the two terms together, which gives:
\n" ); document.write( " $\"%28x+-+%28x-1%29%29%2F%28x%28x-1%29%29+=+1%2F6x\"$
\n" ); document.write( "Collect terms in the numerator:
\n" ); document.write( " $\"1%2F%28x%28x%2B1%29%29+=+1%2F6x\"$
\n" ); document.write( "Cross-multiply and solve for x:
\n" ); document.write( " $\"x%28x-1%29+=+6x+-%3E+x-1+=+6+-%3E+x+=+7\"$
\n" ); document.write( "Check:
\n" ); document.write( "1/6 - 1/7 = 1/42
\n" ); document.write( "7/42 - 6/42 = 1/42 \n" ); document.write( "

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