Answer
$x=-\frac{7}{2}$
Work Step by Step
We solve the equation:
$\displaystyle \frac{x}{x+2}-3=\frac{1}{x+2}$
First we multiply both sides by $x+2$:
$x-3(x+2)=1$
Next we distribute:
$x-3x-6=1$
And solve for $x$:
$-2x=7$
$x=-\frac{7}{2}$