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

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


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

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

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

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

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

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

3*x-x-5 = 0

2*x-5 = 0

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

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

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x = 5/2

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