Answer
no solution
Work Step by Step
The absolute value of $x,$ written as $|x|,$ is the distance of $x$ from $0.$ As a distance, its value is always nonnegative. In the same way, the left side of the given expression, $
|2-5x|=-12
,$ is nonnegative for any value of $x.$ This is never equal to the negative value at the right. Hence, there is $\text{
no solution
.}$