I have the following situation, $$E = A X B + C X D$$ where $A,B,C,D,E$ and $X$ are matrices with proper dimensions. I want to obtain an expression like, $$X = f(A,B,C,D,E)$$ i.e., leave $X$ alone at one side. Is there a way to do this? I am stuck. Thanks in advance!
PS: OK, my situation is more interesting. I have the following situation actually, $$E = A^T X B^T + A X B$$ and try to solve above problem. Thanks!