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

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

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

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

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

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

5*x-2*x-2+5 = 0

3*x+3 = 0

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

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

3*x+3 = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x in { -1} 

x belongs to the empty set

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