The image shows a matrix equation:

$\begin{bmatrix} 3 & 7 \\ 2 & 4 \\ 5 & 3 \end{bmatrix} + 2X = \begin{bmatrix} 1 & -5 \\ -4 & 6 \end{bmatrix}$

We are solving for $X$. Let's break it down step by step.

Step 1: Isolate $2X$

We move the matrix on the left-hand side to the other side by subtracting it from the matrix on the right-hand side:

$2X = \begin{bmatrix} 1 & -5 \\ -4 & 6 \end{bmatrix} - \begin{bmatrix} 3 & 7 \\ 2 & 4 \\ 5 & 3 \end{bmatrix}$

Step 2: Perform matrix subtraction

We subtract the matrices element-wise. However, notice the first matrix has dimensions $2 \times 2$ while the second has dimensions $3 \times 2$, so they are incompatible for direct subtraction.

Could you confirm if the dimensions were written correctly or if part of the matrix might be missing? Otherwise, subtraction as shown is not possible due to different matrix sizes.