$$75\div(\frac{5}{6}+\frac{2}{3})x-0.2F$$
$-\frac{F}{5}+50x$
$$\frac{75}{\frac{5}{6}+\frac{4}{6}}x-0.2F$$
$$\frac{75}{\frac{5+4}{6}}x-0.2F$$
$$\frac{75}{\frac{9}{6}}x-0.2F$$
$$\frac{75}{\frac{3}{2}}x-0.2F$$
$$75\times \frac{2}{3}x-0.2F$$
$$\frac{75\times 2}{3}x-0.2F$$
$$\frac{150}{3}x-0.2F$$
$$50x-0.2F$$
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$50$
