4/(2x-1)=2(4/(x-1))

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Solution for 4/(2x-1)=2(4/(x-1)) equation: 


D( x )

2*x-1 = 0

x-1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

4/(2*x-1) = 2*(4/(x-1)) // - 2*(4/(x-1))

4/(2*x-1)-(2*(4/(x-1))) = 0

4/(2*x-1)-8*(x-1)^-1 = 0

4/(2*x-1)-8/(x-1) = 0

(4*(x-1))/((2*x-1)*(x-1))+(-8*(2*x-1))/((2*x-1)*(x-1)) = 0

4*(x-1)-8*(2*x-1) = 0

4-12*x = 0

(4-12*x)/((2*x-1)*(x-1)) = 0

(4-12*x)/((2*x-1)*(x-1)) = 0 // * (2*x-1)*(x-1)

4-12*x = 0

4-12*x = 0 // - 4

-12*x = -4 // : -12

x = -4/(-12)

x = 1/3

x = 1/3

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