Answer
The value of $x$ is $-11$.
Work Step by Step
Consider, $\left| \begin{matrix}
-2 & x \\
4 & 6 \\
\end{matrix} \right|=32$
Calculate the above determinant as given:
$\left| \begin{matrix}
-2 & x \\
4 & 6 \\
\end{matrix} \right|=32$
This implies that,
$\left( -2\times 6 \right)-\left( 4\times x \right)=32$
Simplify the above equation,
$-12-4x=32$
Add 12 to both sides to get,
$-4x=44$
Divide by $-4$. Then,
$x=-11$.
Hence, $x=-11$.
