Answer:
2(x - 5) = 2( x - 5)
One solution
4(x - 2) = 4(x + 2)
One solution
5(x + 4) = 5(x + -6)
No Solution
(5x + 4) = 3(x - 6)
No Solution
x + 2(x - 5) = 3(x - 2) - 4
Infinite
2(x - 5) = 2( x - 5) : Single solution
4(x - 2) = 4(x + 2) : Single Solution
5(x + 4) = 5(x + -6) : Zero Solutions
(5x + 4) = 3(x - 6) : Zero Solutions
x + 2(x - 5) = 3(x - 2) - 4 : Infinitely many solutions