Answer
$$x=-3,\:x=-5$$
Work Step by Step
We use cross multiplication to solve. Doing this, we find:
$$\left(x+12\right)\left(x+2\right)=3\left(2x+3\right)\\ x^2+14x+24=6x+9 \\ x=-3,\:x=-5$$
Checking, we see that the solution is not extraneous.