Answer
$-\frac{7}{4}$
Work Step by Step
Step 1. Multiply the LCD $x(x+2)$ to both sides, we have $x^2+x+2+3x(x+2)=2\longrightarrow 4x^2+7x=0$
Step 2. Factor the equation to get $x(4x+7)=0$, thus $x=0$ and $x=-\frac{7}{4}$
Step 3. Check the answers with the original equation and only $x=-\frac{7}{4}$ fits.