Answer
Domain: all the real numbers except $x=3$ and $x=-2$
Work Step by Step
The denominator must be different from $0$:
Use: $-x=2x-3x$
$x^2-x-6\ne0~~$
$x^2+2x-3x-6\ne0$
$x(x+2)-3(x+2)\ne0$
$(x-3)(x+2)\ne0$
$x-3\ne0$
$x\ne3$
or
$x+2\ne0$
$x\ne-2$
