Answer
$x=-7$
Work Step by Step
We can rewrite the equation as:
$\frac{x+1}{x(x+2)}$-$\frac{x+4}{x(x+1)}$=$\frac{-3}{(x+2)(x+1)}$
Then we multiply both sides by $x(x+1)(x+2)^{}$:
$=(x+1)(x+1) - (x+4)(x+2) = -3x^{}$
$=(^{}x^{2}+2x+1)-(^{}x^{2}+6x+8)=-3x^{}$
$=-x-7^{}$
$x=-7^{}$
