AX+D-BX=C

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Solution for AX+D-BX=C equation: 


Simplifying
AX + D + -1BX = C

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

Solving
AX + -1BX + D = C

Solving for variable 'A'.

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

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

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

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

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

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

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

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