Answer
$$x=-\frac{1}{3}$$
Work Step by Step
For cross multiplication, we know:
$$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$
Thus, we find:
$$-4\left(x-3\right)=\left(x+3\right)\cdot \:5 \\ -4x=5x+3\\ x=-\frac{1}{3}$$
Checking our solution by plugging $-3$ back into the equation, we assure that the solution checks out.
