Find the value of $x$:
$$0.2x+0.04=0.5x-0.11$$

Let's group like terms by shifting all $x$ terms to one side and constants to the other:
$$0.04+0.11=0.5x-0.2x$$

$$0.15=0.3x$$

Solving for $x$:

$$x=\frac{0.15}{0.3}=\frac{15}{30}=0.5$$