## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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 $\text{ no solution .}$