$$\frac{2x-6}{5}-\frac{3x+4}{5}+\frac{7}{2}; =0$$
$n = -\frac{247}{11} = -22\frac{5}{11} \approx -22.454545455$
$$2\left(2n-6\right)=5\left(3n+47\right)$$
$$4n-12=5\left(3n+47\right)$$
$$4n-12=15n+235$$
$$4n-12-15n=235$$
$$-11n-12=235$$
$$-11n=235+12$$
$$-11n=247$$
$$n=\frac{247}{-11}$$
$$n=-\frac{247}{11}$$
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