Answer
$x=-6$
Work Step by Step
We can rewrite this as
$\frac{x}{(x+1)(x-1)}-\frac{x+3}{x(x-1)}=\frac{-3}{(x+1)*x}$
Multiplying both sides by $x*(x-1)*(x+1)$ and remembering that $x\ne0,-1,1$
$x*x-(x+3)(x+1)=-3(x-1)$
Simplify and get
$-4x-3=-3x+3$
or $x=-6$
