2000018305

Consider three matrices $$A=\left(\begin{array}{cc}3& 4\\ 1& 2\end{array}\right),B=\left(\begin{array}{cc}1& 1\\ 0& 1\end{array}\right),C=\left(\begin{array}{cc}1& 0\\ 1& 1\end{array}\right).$$ Let $E$ denote the identity matrix of order $2$. Then, find $X$, which is the solution to the following equation. $$C\cdot (A+X)\cdot B=E$$