Answer
This equation has no solution
Work Step by Step
$\dfrac{x}{x+3}+4=\dfrac{x}{x+3}$
Multiply the whole equation by $x+3$:
$(x+3)\Big(\dfrac{x}{x+3}+4=\dfrac{x}{x+3}\Big)$
$x+4(x+3)=x$
Solve for $x$:
$x+4x+12=x$
$5x-x=-12$
$4x=-12$
$x=-\dfrac{12}{4}$
$x=-3$
The original equation is undefined for this value of $x$, so this equation has no solution.