You can put this solution on YOUR website!
3x/x-1 + 6x-9/x-1 -6 = 0
3x/x-1 + 6x-9/x-1 -6(x-1)/x-1=0
Distribute the -6
3x/x-1 + 6x-9/x-1 -6x+6/x-1=0
Combine the numerators
Combine like terms in the numerator
0 over anything is zero, so the numerator must be equal to zero. Eliminate the denominator.
Notice if you plug this back into the original equation, or any of the ones before you eliminated the denominator, the denominator becomes 0. That's undefined. So there is no solution.