Answer
$$X= \left[\begin{array}{ccc}{6} & {4} \\ {3} & {5}\end{array}\right].$$
Work Step by Step
Let $$
A=\left[\begin{array}{ccc}{1} & {2} \\ {3} & {4}\end{array}\right], \quad B=\left[\begin{array}{ccc}{-1} & {0} \\ {1} & {1}\end{array}\right].
$$
We have
$$X-2A+3B=O\Longrightarrow X=2A-3B$$
and hence $$X=2\left[\begin{array}{ccc}{1} & {2} \\ {3} & {4}\end{array}\right]-3\left[\begin{array}{ccc}{-1} & {0} \\ {1} & {1}\end{array}\right]=\left[\begin{array}{ccc}{6} & {4} \\ {3} & {5}\end{array}\right].$$
