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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

3*x+2*x-12 = 0

5*x-12 = 0

(5*x-12)/(3*x) = 0

(5*x-12)/(3*x) = 0 // * 3*x

5*x-12 = 0

5*x-12 = 0 // + 12

5*x = 12 // : 5

x = 12/5

x = 12/5

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