Answer
$x=-\dfrac{5}{8}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
|8x+5|=0
,$ use the fact that $|x|=0$ implies $x=0.$
$\bf{\text{Solution Details:}}$
Since $|x|=0$ implies $x=0,$ the equation above is equivalent to
\begin{array}{l}\require{cancel}
8x+5=0
.\end{array}
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
8x=-5
\\\\
x=-\dfrac{5}{8}
.\end{array}
