$$0.75\div(\frac{5}{6}+\frac{2}{3})x-0.2$$
$\frac{x}{2}-0.2$
$$\frac{0.75}{\frac{5}{6}+\frac{4}{6}}x-0.2$$
$$\frac{0.75}{\frac{5+4}{6}}x-0.2$$
$$\frac{0.75}{\frac{9}{6}}x-0.2$$
$$\frac{0.75}{\frac{3}{2}}x-0.2$$
$$0.75\times \frac{2}{3}x-0.2$$
$$\frac{3}{4}\times \frac{2}{3}x-0.2$$
$$\frac{3\times 2}{4\times 3}x-0.2$$
$$\frac{2}{4}x-0.2$$
$$\frac{1}{2}x-0.2$$
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$\frac{x-0.4}{2}$