Chapter 1 - Expressions, Equations, and Inequalities - 1-6 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 48: 82

$x = \dfrac{b + c}{a}$ or $x = -\dfrac{b + c}{a}$

$|ax| – b = c$ $|ax| = b + c$ Splitting it into the two cases (note that $|x|=a\longrightarrow x=a \text{ or } x=-a$) to obtain: $ax = b + c$ or $ax = –(b + c)$ Dividing by $a$ we get: $x = \frac{b + c}{a}$ or $x = –\frac{b + c}{a}$