$$\frac{5x+4}{20x^{2}+3x-2}-\frac{x+5}{20x^{2}+3x-2}$$
$\frac{1}{5x+2}$
$$\frac{5x+4-\left(x+5\right)}{20x^{2}+3x-2}$$
$$\frac{5x+4-x-5}{20x^{2}+3x-2}$$
$$\frac{4x-1}{20x^{2}+3x-2}$$
$$\frac{4x-1}{\left(4x-1\right)\left(5x+2\right)}$$
$$\frac{1}{5x+2}$$
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$\frac{4}{20x+8}$