$$\frac{1\frac{1}{3}}{6x-4} = \frac{0.6}{3x-4}$$
$$\frac{\frac{4}{3}}{6x-4} = \frac{\frac{3}{5}}{3x-4}$$
$$\frac{4}{3(6x-4)} = \frac{3}{5(3x-4)}$$
$$\frac{4}{18x-12} = \frac{3}{15x-20}$$
$$4(15x-20) = 3(18x-12)$$
$$60x - 80 = 54x - 36$$
$$6x = 44$$
$$x = \frac{44}{6}$$
$$x = \frac{22}{3}$$
$$x = 7\frac{1}{3}$$
Ответ: $$x = 7\frac{1}{3}$$.