Hi, I need to solve for a matrix X in the equation below:

$\displaystyle \left[ \begin{array}{cc} -7 & -6 \\ -9 & 5 \end{array} \right]X + \left[ \begin{array}{cc} -2 & 1 \\ 4 & 2 \end{array} \right] = \left[ \begin{array}{cc} -8 & 4 \\ 5 & 3 \end{array} \right]$

What I tried to do was first minus the $\displaystyle \left[ \begin{array}{cc} -2 & 1 \\ 4 & 2 \end{array} \right]$ to the other side, then I took the inverse of $\displaystyle \left[ \begin{array}{cc} -7 & -6 \\ -9 & 5 \end{array} \right]$ and multiplied that on both sides. I thought that taking the inverse and multiplying with it would have a division type of effect. Unfortunately I didn't get the correct answer. Would anyone mind telling me what I've done wrong?

Thanks!