Final answer:
Option A, -5(x + 2) = -4x-12 - X+2, has infinitely many solutions.
Step-by-step explanation:
The equation that has infinitely many solutions is option A. -5(x + 2) = -4x-12 - X+2.
To determine this, we will check if the equation is true for all values of x. So, let's simplify the equation:
-5(x + 2) = -4x-12 - X+2
-5x - 10 = -4x - 10
Now, we can see that the two sides of the equation are equal for all values of x. Therefore, the equation has infinitely many solutions.