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

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Question 270264: x%2F%28x-6%29-6%2F11=6%2F%28x-6%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x-6%29-6%2F11=6%2F%28x-6%29 Start with the given equation.


Take note that the LCD is 11%28x-6%29


Also, notice that if x=6, then x-6=6-6=0 which would cause a division by zero. So x%3C%3E6 (ie pull 6 out of the domain).


Multiply EVERY term by the LCD 11%28x-6%29


11x%2B%28x-6%29%28-6%29=11%286%29 Simplify


11x-6%28x-6%29=11%286%29 Rearrange the terms.


11x-6x-6%28-6%29=11%286%29 Distribute


11x-6x%2B36=66 Multiply


11x-6x=66-36 Subtract 36 from both sides.


5x=30 Combine like terms.


x=30%2F5 Divide both sides by 5 to isolate x.


x=6 Reduce.


So the possible solution is x=6. However, we stated earlier that x%3C%3E6 (to avoid dividing by zero).


So there are no solutions.