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

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

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

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

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

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

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

36-10*x = 0

(36-10*x)/(7*(2*x-3)) = 0

(36-10*x)/(7*(2*x-3)) = 0 // * 7*(2*x-3)

36-10*x = 0

36-10*x = 0 // - 36

-10*x = -36 // : -10

x = -36/(-10)

x = 18/5

x = 18/5

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