(x-7)/(x-4)=2/5

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Solution for (x-7)/(x-4)=2/5 equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(x-7)/(x-4) = 2/5 // - 2/5

(x-7)/(x-4)-(2/5) = 0

(x-7)/(x-4)-2/5 = 0

(5*(x-7))/(5*(x-4))+(-2*(x-4))/(5*(x-4)) = 0

5*(x-7)-2*(x-4) = 0

3*x-27 = 0

(3*x-27)/(5*(x-4)) = 0

(3*x-27)/(5*(x-4)) = 0 // * 5*(x-4)

3*x-27 = 0

3*x-27 = 0 // + 27

3*x = 27 // : 3

x = 27/3

x = 9

x = 9

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