(2x+3)/(x-6)=7

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Solution for (2x+3)/(x-6)=7 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)

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

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

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

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

45-5*x = 0

(45-5*x)/(x-6) = 0

(45-5*x)/(x-6) = 0 // * x-6

45-5*x = 0

45-5*x = 0 // - 45

-5*x = -45 // : -5

x = -45/(-5)

x = 9

x = 9

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