$$\frac{x+6}{3}=\frac{x+7}{8}$$
$x = -\frac{27}{5} = -5\frac{2}{5} = -5.4$
$$8\left(x+6\right)=3\left(x+7\right)$$
$$8x+48=3\left(x+7\right)$$
$$8x+48=3x+21$$
$$8x+48-3x=21$$
$$5x+48=21$$
$$5x=21-48$$
$$5x=-27$$
$$x=\frac{-27}{5}$$
$$x=-\frac{27}{5}$$
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