(2x+4)/(x-5)=4

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Solution for (2x+4)/(x-5)=4 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)

(2*x+4)/(x-5) = 4 // - 4

(2*x+4)/(x-5)-4 = 0

(2*x+4)/(x-5)+(-4*(x-5))/(x-5) = 0

2*x-4*(x-5)+4 = 0

24-2*x = 0

(24-2*x)/(x-5) = 0

(24-2*x)/(x-5) = 0 // * x-5

24-2*x = 0

24-2*x = 0 // - 24

-2*x = -24 // : -2

x = -24/(-2)

x = 12

x = 12

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