Let's solve for x in the given equation:

-0.2(1+5x) - 3x = 0.5(1 - 3x)

Expand both sides of the equation:

-0.2 - 1 + 5x - 3x = 0.5 - 1.5x

Combine like terms:

4.7x - 1.2 = -1.5x

Add 1.5x to both sides:

6.2x - 1.2 = 0

Add 1.2 to both sides:

6.2x = 1.2

Divide by 6.2:

x = 1.2 / 6.2

x = 0.1935

Therefore, the solution to the equation is x = 0.1935