Skills Handbook - Absolute Value - Exercises - Page 892: 14

$x=1\text{ or }x=-1$

We start with the given equation: $|x|=1$ We must determine all values $x$ that are $1$ unit away from $0$ on a number line. We find that both $1$ and $-1$ satisfy this condition. Therefore, $x=1\text{ or }x=-1$.