AX+B=C-DX

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Solution for AX+B=C-DX equation: 


Simplifying
AX + B = C + -1DX

Solving
AX + B = C + -1DX

Solving for variable 'A'.

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

Add '-1B' to each side of the equation.
AX + B + -1B = C + -1B + -1DX

Combine like terms: B + -1B = 0
AX + 0 = C + -1B + -1DX
AX = C + -1B + -1DX

Reorder the terms:
AX = -1B + C + -1DX

Divide each side by 'X'.
A = -1BX-1 + CX-1 + -1D

Simplifying
A = -1BX-1 + CX-1 + -1D

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