(5x-3)/x=(7-x)/(x+2)

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Solution for (5x-3)/x=(7-x)/(x+2) equation: 


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

(5*x-3)/x = (7-x)/(x+2) // - (7-x)/(x+2)

(5*x-3)/x-((7-x)/(x+2)) = 0

(5*x-3)/x+(-1*(7-x))/(x+2) = 0

((5*x-3)*(x+2))/(x*(x+2))+(-1*x*(7-x))/(x*(x+2)) = 0

(5*x-3)*(x+2)-1*x*(7-x) = 0

6*x^2-6 = 0

(6*x^2-6)/(x*(x+2)) = 0

(6*x^2-6)/(x*(x+2)) = 0 // * x*(x+2)

6*x^2-6 = 0

6*x^2 = 6 // : 6

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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