# Chapter 8 Rational Functions - 8.6 Solve Rational Equations - Guided Practice for Examples 1 and 2 - Page 590: 2

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

#### 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.

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