Answer
$|x-1|=5$
Work Step by Step
RECALL:
$|x-a|$ represents the distance of the real number $x$ from the real number $a$.
This means that
$|x-1|$ represents the distance of the real number $x$ from $1$; and
$|x-1|=5$ represents all real numbers whose distance from $1$ is 5 units.