((x+1)/(x+5))+2=((9x+2)/(3x))

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Solution for ((x+1)/(x+5))+2=((9x+2)/(3x)) equation: 


D( x )

3*x = 0

x+5 = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:0) U (0:+oo)

(x+1)/(x+5)+2 = (9*x+2)/(3*x) // - (9*x+2)/(3*x)

(x+1)/(x+5)-((9*x+2)/(3*x))+2 = 0

(x+1)/(x+5)+(-1*(9*x+2))/(3*x)+2 = 0

(3*x*(x+1))/(3*x*(x+5))+(-1*(9*x+2)*(x+5))/(3*x*(x+5))+(2*3*x*(x+5))/(3*x*(x+5)) = 0

3*x*(x+1)-1*(9*x+2)*(x+5)+2*3*x*(x+5) = 0

6*x^2-6*x^2-44*x+30*x-10 = 0

-14*x-10 = 0

(-14*x-10)/(3*x*(x+5)) = 0

(-14*x-10)/(3*x*(x+5)) = 0 // * 3*x*(x+5)

-14*x-10 = 0

-14*x-10 = 0 // + 10

-14*x = 10 // : -14

x = 10/(-14)

x = -5/7

x = -5/7

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