Question 165231
-1/x-5=x-6/x-5
LCD=(x-5)
multiply both sides by x-5
What's left after cancelling are just the numerators
-1=x-6
transpose -6 to left side
-1+6=x
5=x

looks good, however you must check the answer
but when you replace x=5 in each denominator
x-5=5-5=0
both denominators become zero.

That's a no no.
You can't divide by zero.
So, we say that there are NO solutions to the equation.




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