Solve for x:
Ax + B = Cx + Dx = ( D - B ) / ( A - C )
Subtract Cx from both sides:
(Ax + B) - Cx = (Cx + D) - Cx
A - Cx + B = D
Subtract abs(B) from both sides:
Add abs(B) to both sides:
(A - Cx + B) + -B = D + -B
A - Cx = D - B
Divide both sides by A - C.
\frac{A - Cx}{A - C} = \frac{D - B}{A - C}
Simplify.
x = SOLUTION
Subtract Ax from both sides:
(Ax + B) - Ax = (Cx + D) - Ax
B = C - Ax + D
Subtract abs(D) from both sides:
Add abs(D) to both sides:
B + -D = (C - Ax + D) + -D
B - D = C - Ax
Divide both sides by C - A.
\dfrac{B - D}{C - A} = \dfrac{C - Ax}{C - A}
Simplify.
SOLUTION = x