#### Answer

The equation $\mid x\mid=-2$ has no solution.

#### Work Step by Step

RECALL:
For any real numebr $x$,
$|x| \ge 0$
The rule above means that the absolute value of any real number is either 0 or a positive number.
In the given statement, the absolute value of a real number $x$ is said to be equal to $-2$.
This is not possible, so the equation $\mid x\mid=-2$ has no solution.