To solve the equation, we need to distribute the numbers outside the parentheses:

-4(x+0.2) - 0.5(4x-6) = 8

-4x - 0.8 - 2x + 3 = 8

Next, combine like terms:

-6x + 2.2 = 8

Subtract 2.2 from both sides to isolate -6x:

-6x = 5.8

Now, divide by -6 to solve for x:

x = -5.8 / 6

x = -0.96666666667

Therefore, the solution for the equation is x = -0.96666666667.