Answer
No solution
Work Step by Step
$\frac{5x}{x-1}=\frac{5}{x-1}+3$
$\frac{5x}{x-1}=\frac{5}{x-1}+\frac{3(x-1)}{1(x-1)}$
$5x=5+3(x-1)$
$5x=5+3x-3$
$2x=2$
$2x/2=2/2$
$x=1$ (This causes there to be zeroes in the denominators, so there is no solution)