5/(x+2)=6/(x+7)

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Solution for 5/(x+2)=6/(x+7) equation: 


D( x )

x+7 = 0

x+2 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-7) U (-7:-2) U (-2:+oo)

5/(x+2) = 6/(x+7) // - 6/(x+7)

5/(x+2)-(6/(x+7)) = 0

5/(x+2)-6*(x+7)^-1 = 0

5/(x+2)-6/(x+7) = 0

(5*(x+7))/((x+2)*(x+7))+(-6*(x+2))/((x+2)*(x+7)) = 0

5*(x+7)-6*(x+2) = 0

23-x = 0

(23-x)/((x+2)*(x+7)) = 0

(23-x)/((x+2)*(x+7)) = 0 // * (x+2)*(x+7)

23-x = 0

23-x = 0 // - 23

-x = -23 // * -1

x = 23

x = 23

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