$$\frac{x}{7}+\frac{x}{5}-\frac{1}{5}=\frac{2x}{35}+\frac{9}{7}$$
$x = \frac{26}{5} = 5\frac{1}{5} = 5.2$
$$5x+7x-7=2x+45$$
$$12x-7=2x+45$$
$$12x-7-2x=45$$
$$10x-7=45$$
$$10x=45+7$$
$$10x=52$$
$$x=\frac{52}{10}$$
$$x=\frac{26}{5}$$
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