how to solve Solving Matrix Equations please?I can not seem to know or grasp when I need add or subtract on each side.

To find X, we have to move the variable X to the right side, and the matrix on the right moves it to the left side.
[tex]X=\begin{bmatrix}{8} & {-7} & \\ {1} & {9} & {} \\ {} & {} & {}\end{bmatrix}-\begin{bmatrix}{0} & {4} & {} \\ {6} & {5} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Then, we just subtract the matrices
[tex]X=\begin{bmatrix}{8-0} & {-7-4} & {} \\ {1-6} & {9-5} & {} \\ & {} & {}\end{bmatrix}[/tex]As you can observe, you have to subtract the same position numbers.