(2x-7)/(x-1)=5

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Solution for (2x-7)/(x-1)=5 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)

(2*x-7)/(x-1) = 5 // - 5

(2*x-7)/(x-1)-5 = 0

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

2*x-5*(x-1)-7 = 0

-3*x-2 = 0

(-3*x-2)/(x-1) = 0

(-3*x-2)/(x-1) = 0 // * x-1

-3*x-2 = 0

-3*x-2 = 0 // + 2

-3*x = 2 // : -3

x = 2/(-3)

x = -2/3

x = -2/3

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