## Algebra 2 (1st Edition)

$$x=-\frac{1}{3}$$
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.