Answer
\[x=3\]
Work Step by Step
The equation \[{{2}^{3}}-\left[ 4{{\left( 5-3 \right)}^{3}} \right]=-8x\].
Use the order of operations,
\[\begin{align}
& 8-\left[ 4{{\left( 2 \right)}^{3}} \right]=-8x \\
& 8-\left[ 4\times 8 \right]=-8x \\
& 8-32=-8x \\
& -24=-8x \\
\end{align}\]
Divided both sides by \[-8\],
\[\begin{align}
& \frac{-24}{-8}=x \\
& 3=x \\
\end{align}\]
Therefore, \[x=3\]
