Answer
$x=-8$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
6+\dfrac{5}{4}x=-4
$, is
\begin{array}{l}
\dfrac{5}{4}x=-4-6
\\\\
\dfrac{5}{4}x=-10
\\\\
x=-10\cdot\dfrac{4}{5}
\\\\
x=-8
.\end{array}