1/(x-1)-2/7=3

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Solution for 1/(x-1)-2/7=3 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)

1/(x-1)-(2/7) = 3 // - 3

1/(x-1)-(2/7)-3 = 0

1/(x-1)-2/7-3 = 0

(1*7)/(7*(x-1))+(-2*(x-1))/(7*(x-1))+(-3*7*(x-1))/(7*(x-1)) = 0

1*7-2*(x-1)-3*7*(x-1) = 0

9-2*x-21*x+21 = 0

30-23*x = 0

(30-23*x)/(7*(x-1)) = 0

(30-23*x)/(7*(x-1)) = 0 // * 7*(x-1)

30-23*x = 0

30-23*x = 0 // - 30

-23*x = -30 // : -23

x = -30/(-23)

x = 30/23

x = 30/23

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