Let's solve the equation step by step:

Distribute the -0.3 to both terms in the parentheses:
-(x-0.6) - 0.3(-2x-0.8) = 5

x + 0.6 + 0.6x + 0.24 = 5

Combine like terms:

x + 0.6 + 0.6x + 0.24 = 5
-0.4x + 0.84 = 5

Subtract 0.84 from both sides:
-0.4x = 5 - 0.84
-0.4x = 4.16

Divide by -0.4 to solve for x:
x = 4.16 / -0.4
x = -10.4

Therefore, the solution to the equation -(x-0.6) - 0.3(-2x-0.8) = 5 is x = -10.4.