(x-3)/(x-6)=(x+1)/(x+5)

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Solution for (x-3)/(x-6)=(x+1)/(x+5) equation:


D( x )

x-6 = 0

x+5 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:6) U (6:+oo)

(x-3)/(x-6) = (x+1)/(x+5) // - (x+1)/(x+5)

(x-3)/(x-6)-((x+1)/(x+5)) = 0

(x-3)/(x-6)+(-1*(x+1))/(x+5) = 0

((x-3)*(x+5))/((x-6)*(x+5))+(-1*(x+1)*(x-6))/((x-6)*(x+5)) = 0

(x-3)*(x+5)-1*(x+1)*(x-6) = 0

7*x-9 = 0

(7*x-9)/((x-6)*(x+5)) = 0

(7*x-9)/((x-6)*(x+5)) = 0 // * (x-6)*(x+5)

7*x-9 = 0

7*x-9 = 0 // + 9

7*x = 9 // : 7

x = 9/7

x = 9/7

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