To solve this equation, first we need to simplify the left side by combining like terms:

X + 0.2(x) - 0.2(0.2x) = 0.04x

X + 0.2x - 0.04x = 0.04x

Now we can combine the x terms:

1x + 0.2x - 0.04x = 0.04x

1.16x = 0.04x

Next, we can isolate the x variable by subtracting 0.04x from both sides:

1.16x - 0.04x = 0

1.12x = 0

Finally, we can solve for x by dividing both sides by 1.12:

x = 0 / 1.12

x = 0

Therefore, the solution to the equation X + 0.2(x-0.2x) = x*0.04 is x = 0.