SOLUTION: {{{x/(x-6)-6/11=6/(x-6)}}}

Question 270264:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Take note that the LCD is

Also, notice that if , then which would cause a division by zero. So (ie pull 6 out of the domain).

Multiply EVERY term by the LCD

Simplify

Rearrange the terms.

Distribute

Multiply

Subtract 36 from both sides.

Combine like terms.

Divide both sides by 5 to isolate x.

Reduce.

So the possible solution is . However, we stated earlier that (to avoid dividing by zero).

So there are no solutions.
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