Find the value of x from the following:

The corresponding elements of two equal matrices are equal.

Given : $\left[\begin{array}{cc}2 x-y & 5 \\ 3 & y\end{array}\right]=\left[\begin{array}{cc}6 & 5 \\ 3 & -2\end{array}\right]$

$2 x-y=6$                  ...(1)

$y=-2$

Putting the value of $y$ in eq. (1)

$2 x-(-2)=6$

$\Rightarrow 2 x+2=6$

$\Rightarrow 2 x=6-2$

$\Rightarrow 2 x=4$

$\Rightarrow x=\frac{4}{2}=2$

$\therefore x=2$