# If $$\begin{bmatrix} 2x & 5 \\ 8 & x \end{bmatrix}=\begin{bmatrix} 6 & 5 \\ 8 & 3 \end{bmatrix}$$, then find x.

Toolbox:
• If the order of 2 matrices are equal, their corresponding elements are equal, i.e, if $A_{ij}=B_{ij}$, then any element $a_{ij}$ in matrix A is equal to corresponding element $b_{ij}$ in matrix B.
Given
$\begin{bmatrix} 2x & 5 \\ 8 & x \end{bmatrix}=\begin{bmatrix} 6 & 5 \\ 8 & 3 \end{bmatrix}$
The given two matrices are equal hence their corresponding elements should be equal.
2x=6
x=3.