1/(x-10)=2/(x+7)

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Solution for 1/(x-10)=2/(x+7) equation: 


D( x )

x+7 = 0

x-10 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x-10 = 0

x-10 = 0

x-10 = 0 // + 10

x = 10

x in (-oo:-7) U (-7:10) U (10:+oo)

1/(x-10) = 2/(x+7) // - 2/(x+7)

1/(x-10)-(2/(x+7)) = 0

1/(x-10)-2*(x+7)^-1 = 0

1/(x-10)-2/(x+7) = 0

(1*(x+7))/((x-10)*(x+7))+(-2*(x-10))/((x-10)*(x+7)) = 0

1*(x+7)-2*(x-10) = 0

27-x = 0

(27-x)/((x-10)*(x+7)) = 0

(27-x)/((x-10)*(x+7)) = 0 // * (x-10)*(x+7)

27-x = 0

27-x = 0 // - 27

-x = -27 // * -1

x = 27

x = 27

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