$$\frac{4x-2}{3}=\frac{4x+7}{5}$$
$x = \frac{31}{8} = 3\frac{7}{8} = 3.875$
$$5\left(4x-2\right)=3\left(4x+7\right)$$
$$20x-10=3\left(4x+7\right)$$
$$20x-10=12x+21$$
$$20x-10-12x=21$$
$$8x-10=21$$
$$8x=21+10$$
$$8x=31$$
$$x=\frac{31}{8}$$
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