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

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


D( x )

x = 0

x = 0

x = 0

x in (-oo: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+(-1*(7-x))/x+(-2*x)/x = 0

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

6*x-2*x-10 = 0

4*x-10 = 0

(4*x-10)/x = 0

(4*x-10)/x = 0 // * x

4*x-10 = 0

4*x-10 = 0 // + 10

4*x = 10 // : 4

x = 10/4

x = 5/2

x = 5/2

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