AX+D+BX-C=0findX

Solution for AX+D+BX-C=0findX equation:

Simplifying
AX + D + BX + -1C = 0findX

Reorder the terms:
AX + BX + -1C + D = 0findX

Anything times zero is zero.
AX + BX + -1C + D = 0dfinX

Solving
AX + BX + -1C + D = 0

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 + -1C + -1BX + D = 0 + -1BX

Reorder the terms:
AX + BX + -1BX + -1C + D = 0 + -1BX

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

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

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

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

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

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

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