(5x+3)/(x-1)=7

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Solution for (5x+3)/(x-1)=7 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(5*x+3)/(x-1) = 7 // - 7

(5*x+3)/(x-1)-7 = 0

(5*x+3)/(x-1)+(-7*(x-1))/(x-1) = 0

5*x-7*(x-1)+3 = 0

10-2*x = 0

(10-2*x)/(x-1) = 0

(10-2*x)/(x-1) = 0 // * x-1

10-2*x = 0

10-2*x = 0 // - 10

-2*x = -10 // : -2

x = -10/(-2)

x = 5

x = 5

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