Question 280606
Is this what you mean?
{{{3/(x-3)=x/(x-3)-3/2 }}}
multiply by (x-3)
3=x-3*(x-3)/2
3=x-(3x-9)/2
6=2x-3x+9
-3=-x
x=3


It looks like x=3 but it can't be x=3 since the denominator in the original equation  would be 0 (3-3)