The easiest way is to just solve the equation.
4x - 4 = -4x + 60
4x + 4x = 4 + 60
8x = 64
x = 8
A slower way to do this is to plug each of the numbers into the equation to see which makes the equation is true.
So for A.
4(8 - 1) = -4(8) + 60
4(7) = -32 + 60
28 = 28
Fortunately, this is true, so A is the answer and you don't have to try the other options.