How to proceed? matrix equation

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enter image description here

I am currently in this step, but i dont know where to go from here

enter image description here The original equation is this

enter image description here and this is my solving, am i missing something here?

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We should use $(AB)^T=B^TA^T$, notice the swap of order. $$(X^TA)^T+2BX=5X$$

$$A^TX+2BX=5X$$

$$(A^T+2B-5I)X=0$$

Hopefully you can solve for $X$ from here.