Verified answer

[tex]0.2 - \frac{1}{5} x = \frac{1}{5} x + 0.8x \\ 0.2 - 0.2x = 0.2x + 0.8x \\ 0.2 = x + 0.2x \\ 1.2x = 0.2 \\ 12x = 2 \\ x = \frac{2}{12} \\ x = \frac{1}{6} [/tex]