Chapter 1 - Section 1.8 - Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 20

$x=0,x=1$

$|x+1|=|1-3x|$ $x+1=1-3x$ $\quad$ or $\quad$ $x+1=-(1-3x)$ $x+3x=1-1$ $\quad$ or $\quad$ $x+1=-1+3x$ $4x=0$ $\quad\quad$ or $\quad\quad$ $-2x=-2$ $x=0$ $\quad\quad$ or $\quad\quad$ $x=1$