$$\frac{7x-3}{5}=\frac{4x+5}{7}$$
$x = \frac{46}{29} = 1\frac{17}{29} \approx 1.586206897$
$$7\left(7x-3\right)=5\left(4x+5\right)$$
$$49x-21=5\left(4x+5\right)$$
$$49x-21=20x+25$$
$$49x-21-20x=25$$
$$29x-21=25$$
$$29x=25+21$$
$$29x=46$$
$$x=\frac{46}{29}$$
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