# Find the "X" Matrix that meets the equation: AX + B = 2A - X. {eq}A= \begin{pmatrix} 3&-2 \\ 0&-3 \end{pmatrix} , B= \begin{pmatrix} -5&2 \\ 3&-1 \end{pmatrix} {/eq}

## Question:

Find the "X" Matrix that meets the equation: AX + B = 2A - X.

{eq}A= \begin{pmatrix} 3&-2 \\ 0&-3 \end{pmatrix} , B= \begin{pmatrix} -5&2 \\ 3&-1 \end{pmatrix} {/eq}

## Finding an Unknown Matrix in a Matrix Equation:

In a matrix equation, an unknown matrix is found by performing indicated matrix operations in the equation. It results in two equivalent matrices, which consist of the elements of the unknown matrix. We equate corresponding elements in both matrices to find the value of each unknown element.