Matrix equations: How to solve this matrix equation by X. CXB+AX=C

because that's the task of the exam.
when a try left C-¹ it became the same.
XB+AXC-¹=I
 
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It says " Solve matrix equation ... for x" that ist all.

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Hint: Notice that A = 2C. That allows you to do some factoring.

CXB + AX = C

CXB + 2CX = C

CX (B + 2I) = C

Can you solve for X from here?

-Dan
 
THANKS MAN!!!! You help me so much.
I think the result is nest:
CXB+AX=C
CXB+2CX=C
CX(B+2I)=C / C^-1 left
X(B+2I)=I / (B+2I) ^-1 right
X=(B+2I)^-1
 
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