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

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


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

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

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

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

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

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

3*x+5 = 0

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

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

3*x+5 = 0

3*x+5 = 0 // - 5

3*x = -5 // : 3

x = -5/3

x = -5/3

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