Add to both sides of the equation.

Simplify the left side of the equation.

Can’t combine different size matrices.

Add the corresponding elements of to each element of .

Simplify each element of the matrix .

Simplify .

Simplify .

Simplify .

Simplify .

Simplify the right side of the equation.

Add the corresponding elements of to each element of .

Simplify each element of the matrix .

Simplify .

Simplify .

Simplify .

Simplify .

Adding the null matrix to any matrix is a matrix itself.

Solve x-[[1,-1],[-2,2]]=[[-2,-3],[2,2]]