$$\frac{ 5x+ \frac{ 14 }{ 17 } }{ 9 } = \frac{ 2 }{ 5 }$$
$x=\frac{236}{425}\approx 0.555294118$
$$5x+\frac{14}{17}=\frac{2}{5}\times 9$$
$$5x+\frac{14}{17}=\frac{2\times 9}{5}$$
$$5x+\frac{14}{17}=\frac{18}{5}$$
$$5x=\frac{18}{5}-\frac{14}{17}$$
$$5x=\frac{306}{85}-\frac{70}{85}$$
$$5x=\frac{306-70}{85}$$
$$5x=\frac{236}{85}$$
$$x=\frac{\frac{236}{85}}{5}$$
$$x=\frac{236}{85\times 5}$$
$$x=\frac{236}{425}$$
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