AX-D+BX=C

Solution for AX-D+BX=C equation:

Simplifying
AX + -1D + BX = C

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

Solving
AX + BX + -1D = C

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 + -1D = -1BX + C

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

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

Combine like terms: -1D + D = 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