(3x)/(2x-1)=6

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Solution for (3x)/(2x-1)=6 equation: 


D( x )

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

(3*x)/(2*x-1) = 6 // - 6

(3*x)/(2*x-1)-6 = 0

(3*x)/(2*x-1)+(-6*(2*x-1))/(2*x-1) = 0

3*x-6*(2*x-1) = 0

6-9*x = 0

(6-9*x)/(2*x-1) = 0

(6-9*x)/(2*x-1) = 0 // * 2*x-1

6-9*x = 0

6-9*x = 0 // - 6

-9*x = -6 // : -9

x = -6/(-9)

x = 2/3

x = 2/3

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