AX+BX=C+D

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Solution for AX+BX=C+D equation: 


Simplifying
AX + BX = C + D

Solving
AX + BX = C + D

Solving for variable 'A'.

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

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

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

Reorder the terms:
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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