AX-C=D-BX

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Solution for AX-C=D-BX equation: 


Simplifying
AX + -1C = D + -1BX

Reorder the terms:
AX + -1C = -1BX + D

Solving
AX + -1C = -1BX + D

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add 'C' to each side of the equation.
AX + -1C + C = -1BX + C + D

Combine like terms: -1C + C = 0
AX + 0 = -1BX + C + D
AX = -1BX + C + D

Divide each side by 'X'.
A = -1B + CX-1 + DX-1

Simplifying
A = -1B + CX-1 + DX-1

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