A
[tex] - 40x + 40 = 20x + 20 \\ - 60x = - 20 \\ x = \frac{1}{3} [/tex]
This equation has a solution
B
[tex]20x + 40 = 40x + 20 \\ - 20x = - 20 \\ x = 1[/tex]
This equation has a solution
C
[tex] - 20x + 40 = - 20x + 20 \\ 0x = - 20[/tex]
This equation has no solution
D
[tex]40x + 40 = 40x + 20 \\ 0x = - 20[/tex]
This equation has no solution
Answer: C, D