Chapter 1 - Solving Linear Equations - 1.4 - Solving Absolute Value Equations - Monitoring Progress - Page 28: 2

$x=5$ and $x=-3$

The given equation is $\Rightarrow |x-1|=4$ Write related linear equations. $\Rightarrow x-1=4$ or $x-1=-4$ Add $1$ to each side. $\Rightarrow x-1+1=4+1$ or $x-1+1=-4+1$ Simplify. $\Rightarrow x=5$ or $x=-3$ Hence, the solutions are $x=5$ and $x=-3$.