Chapter 4 - Section 4.8 - Solving Equations Containing Fractions - Exercise Set - Page 312: 65

$x = -\frac{5}{14}$

$\frac{7}{6}x = \frac{1}{4} - \frac{2}{3}$ $\frac{7}{6}x = \frac{3}{12} - \frac{8}{12}$ $\frac{7}{6}x = \frac{-5}{12}$ $x = \frac{-5}{12} \div \frac{7}{6}$ $x = \frac{-5}{12} \times \frac{6}{7}$ $x = -\frac{30}{84}$ $x = -\frac{5}{14}$