Answer
$|x-2|\gt 5$
Work Step by Step
The statement "$x$ is more than $5$ units from $2$" can be written as an inequality as follows
$$
|x-2|\gt 5
.$$
Notice that we take the absolute value sign because we do not care whether the difference of $5$ is positive or negative. This can also be seen as a measure of distance -- $x$ and $2$ are more than $5$ units apart.