To solve for x in the equation 0.1(x+0.5)-0.25=0.4x, we first distribute the 0.1 on the left side of the equation:

0.1x + 0.05 - 0.25 = 0.4x

Combine like terms:

0.1x - 0.2 = 0.4x

Subtract 0.1x from both sides:

-0.2 = 0.3x

Now, divide by 0.3 to solve for x:

x = -0.2 / 0.3
x = -0.67

Therefore, the solution to the equation is x = -0.67.