Chapter 1 - Equations and Inequalities - 1.1 Linear Equations - 1.1 Exercises - Page 92: 15

$x = -\frac{2}{7}$

$\frac{5}{6}x - 2x + \frac{4}{3} = \frac{5}{3}$ $\frac{5}{6}x - \frac{12}{6}x + \frac{4}{3} = \frac{5}{3}$ $\frac{5-12}{6}x = \frac{5}{3} - \frac{4}{3}$ $\frac{-7}{6}x = \frac{1}{3}$ $\frac{-7}{6}x\times \frac{-6}{7} = \frac{1}{3}\times \frac{-6}{7}$ $x=-\frac{6}{21}$ $x = -\frac{2}{7}$