$$\frac{(x+6)(x+8)}{x(x+5)}=1$$
$x = -\frac{16}{3} = -5\frac{1}{3} \approx -5.333333333$
$$\left(x+6\right)\left(x+8\right)=x\left(x+5\right)$$
$$x^{2}+14x+48=x\left(x+5\right)$$
$$x^{2}+14x+48=x^{2}+5x$$
$$x^{2}+14x+48-x^{2}=5x$$
$$14x+48=5x$$
$$14x+48-5x=0$$
$$9x+48=0$$
$$9x=-48$$
$$x=\frac{-48}{9}$$
$$x=-\frac{16}{3}$$
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