# Solving $AX+X^TB=C$?

Is there a name/standard algorithm to solve the following equation for $$X$$?

$$AX+X^TB=C$$

Matrices $$A$$,$$B$$,$$C$$ are dense, diagonalizable, nearly singular, about $$1000\times 1000$$ in size. I've looked through SLICOT routines, and nothing looked directly applicable.