To solve the equation, we need to distribute and simplify on both sides:

0.6(x+2) - 0.2(6x-9) = 0.8(5x-25)

0.6x + 1.2 - 1.2x + 1.8 = 4x - 20

Combine like terms:

-0.6x + 3 = 4x - 20

Add 0.6x to both sides:

3 = 4.6x - 20

Add 20 to both sides:

23 = 4.6x

Divide by 4.6 to solve for x:

x = 23 / 4.6

x = 5

Therefore, the solution to the equation is x = 5.