#### Answer

The solution is $x=-\dfrac{5}{8}$

#### Work Step by Step

$|8x+5|=0$
Since the absolute value equation is equal to $0$, the solution can be found by solving the following equation:
$8x+5=0$
Take $5$ to the right side:
$8x=-5$
Solve for $x$:
$x=-\dfrac{5}{8}$