5x/(2x-3)=25/7

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Solution for 5x/(2x-3)=25/7 equation:


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:+oo)

(5*x)/(2*x-3) = 25/7 // - 25/7

(5*x)/(2*x-3)-(25/7) = 0

(5*x)/(2*x-3)-25/7 = 0

(5*7*x)/(7*(2*x-3))+(-25*(2*x-3))/(7*(2*x-3)) = 0

5*7*x-25*(2*x-3) = 0

75-15*x = 0

(75-15*x)/(7*(2*x-3)) = 0

(75-15*x)/(7*(2*x-3)) = 0 // * 7*(2*x-3)

75-15*x = 0

75-15*x = 0 // - 75

-15*x = -75 // : -15

x = -75/(-15)

x = 5

x = 5

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