Chapter 8 Rational Functions - 8.6 Solve Rational Equations - Guided Practice for Examples 3, 4, and 5 - Page 591: 5

$$x=-6$$

We solve the equation by creating common denominators, combining the fractions, and then simplifying. Doing this, we find: $$\frac{7x}{2x}+\frac{6}{2x}=3 \\ \frac{7x+6}{2x}=3 \\ \frac{7x+6}{2x}=3 \\ x=-6$$ Checking, we see that the solution is not extraneous.