$x$ cannot have a positive solution
Work Step by Step
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, $ |7x+3| ,$ is always a nonnegative number. Therefore, the value of $x$ in the right-hand expression should be nonpositive so that $ -5x $ is nonnegative. That is, $x$ cannot have a positive solution.