## College Algebra (11th Edition)

$x$ cannot have a negative solution
The absolute value of $x$, written as $|x|,$ is the distance of $x$ to $0,$ and hence, is always a nonnegative number. In the same reason, for any $x,$ the left side of the given equation, $|5x-6| ,$ is always a nonnegative number. Therefore, the value of $x$ in the right-hand expression should also be a nonnegative number so that $3x$ is nonnegative. That is, $x$ cannot have a negative solution.