Answer
$x=12,y=2\text{ and }z=3$.
Work Step by Step
Two matrices are equal if the corresponding elements of the given matrix are equal.
That is,
$\begin{align}
& x=12 \\
& y+3=5 \\
\end{align}$
And,
$2z=6$
Now $y+3=5$ implies that $y=5-3=2$ and $2z=6$ implies that $z=3$.
Hence, $x=12,y=2\text{ and }z=3$.