(3x+7)/(x-6)=8

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Solution for (3x+7)/(x-6)=8 equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

(3*x+7)/(x-6) = 8 // - 8

(3*x+7)/(x-6)-8 = 0

(3*x+7)/(x-6)+(-8*(x-6))/(x-6) = 0

3*x-8*(x-6)+7 = 0

55-5*x = 0

(55-5*x)/(x-6) = 0

(55-5*x)/(x-6) = 0 // * x-6

55-5*x = 0

55-5*x = 0 // - 55

-5*x = -55 // : -5

x = -55/(-5)

x = 11

x = 11

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