$$(\frac{3x+5}{5}-(\frac{5x-7}{6})\Rightarrow\frac{x-2}{3}$$
$\frac{9x}{5}-3$
$$\frac{3x-5}{5}\left(-\frac{-7-2}{3}\right)$$
$$\frac{3x-5}{5}\left(-\frac{-9}{3}\right)$$
$$\frac{3x-5}{5}\left(-\left(-3\right)\right)$$
$$\frac{3x-5}{5}\times 3$$
$$\frac{\left(3x-5\right)\times 3}{5}$$
$$\frac{9x-15}{5}$$
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