(x-5)/(x+1)=3/5

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Solution for (x-5)/(x+1)=3/5 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)

(x-5)/(x+1) = 3/5 // - 3/5

(x-5)/(x+1)-(3/5) = 0

(x-5)/(x+1)-3/5 = 0

(5*(x-5))/(5*(x+1))+(-3*(x+1))/(5*(x+1)) = 0

5*(x-5)-3*(x+1) = 0

2*x-28 = 0

(2*x-28)/(5*(x+1)) = 0

(2*x-28)/(5*(x+1)) = 0 // * 5*(x+1)

2*x-28 = 0

2*x-28 = 0 // + 28

2*x = 28 // : 2

x = 28/2

x = 14

x = 14

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