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

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


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

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

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

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

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

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

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

3*x+9 = 0

(3*x+9)/(5*(x-7)) = 0

(3*x+9)/(5*(x-7)) = 0 // * 5*(x-7)

3*x+9 = 0

3*x+9 = 0 // - 9

3*x = -9 // : 3

x = -9/3

x = -3

x = -3

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