Find the non-zero values of x satisfyingthe matrix equation x2x23x+285x44x=2x2+824106x.

Find the non-zero values of x satisfying
the matrix equation $x (\begin{matrix} 2 x & 2 \\ 3 & x \end{matrix}) + 2 (\begin{matrix} 8 & 5 x \\ 4 & 4 x \end{matrix}) = 2 (\begin{matrix} x^{2} + 8 & 24 \\ 10 & 6 x \end{matrix})$ .

Match the items on the right to the items on the left.