$$\frac{8x-6}{37-6}=\frac{5x-67}{2-6}$$
$x = \frac{191}{17} = 11\frac{4}{17} \approx 11.235294118$
$$\frac{8x-6}{31}=\frac{5x-67}{2-6}$$
$$\frac{8x-6}{31}=\frac{5x-67}{-4}$$
$$\frac{8x-6}{31}=\frac{-5x+67}{4}$$
$$\frac{8}{31}x-\frac{6}{31}=\frac{-5x+67}{4}$$
$$\frac{8}{31}x-\frac{6}{31}=-\frac{5}{4}x+\frac{67}{4}$$
$$\frac{8}{31}x-\frac{6}{31}+\frac{5}{4}x=\frac{67}{4}$$
$$\frac{187}{124}x-\frac{6}{31}=\frac{67}{4}$$
$$\frac{187}{124}x=\frac{67}{4}+\frac{6}{31}$$
$$\frac{187}{124}x=\frac{2077}{124}+\frac{24}{124}$$
$$\frac{187}{124}x=\frac{2077+24}{124}$$
$$\frac{187}{124}x=\frac{2101}{124}$$
$$x=\frac{2101}{124}\times \frac{124}{187}$$
$$x=\frac{2101\times 124}{124\times 187}$$
$$x=\frac{2101}{187}$$
$$x=\frac{191}{17}$$
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