Answer
The equation has no solution.
Work Step by Step
$\dfrac{x}{x-3}=\dfrac{3}{x-3}+3$
Multiply the whole equation by $x-3$:
$(x-3)\Big(\dfrac{x}{x-3}=\dfrac{3}{x-3}+3\Big)$
$x=3+3(x-3)$
Evaluate the indicated operations:
$x=3+3x-9$
Take $3x$ to the left side:
$x-3x=3-9$
Simplify both sides:
$-2x=-6$
Solve for $x$:
$x=\dfrac{-6}{-2}$
$x=3$
The original equation is undefined for $x=3$, so the equation has no solution.
