(3x+4)/(x-5)=11

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Solution for (3x+4)/(x-5)=11 equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

(3*x+4)/(x-5) = 11 // - 11

(3*x+4)/(x-5)-11 = 0

(3*x+4)/(x-5)+(-11*(x-5))/(x-5) = 0

3*x-11*(x-5)+4 = 0

59-8*x = 0

(59-8*x)/(x-5) = 0

(59-8*x)/(x-5) = 0 // * x-5

59-8*x = 0

59-8*x = 0 // - 59

-8*x = -59 // : -8

x = -59/(-8)

x = 59/8

x = 59/8

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