$$\frac{8x-5}{7x+1}=\frac{-4}{5}$$
$x=\frac{21}{68}\approx 0.308823529$
$$5\left(8x-5\right)=\left(7x+1\right)\left(-4\right)$$
$$40x-25=\left(7x+1\right)\left(-4\right)$$
$$40x-25=-28x-4$$
$$40x-25+28x=-4$$
$$68x-25=-4$$
$$68x=-4+25$$
$$68x=21$$
$$x=\frac{21}{68}$$
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