8/(3x-2)=2/(x-1)

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Solution for 8/(3x-2)=2/(x-1) equation: 


D( x )

x-1 = 0

3*x-2 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:2/3) U (2/3:1) U (1:+oo)

8/(3*x-2) = 2/(x-1) // - 2/(x-1)

8/(3*x-2)-(2/(x-1)) = 0

8/(3*x-2)-2*(x-1)^-1 = 0

8/(3*x-2)-2/(x-1) = 0

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

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

2*x-4 = 0

(2*x-4)/((3*x-2)*(x-1)) = 0

(2*x-4)/((3*x-2)*(x-1)) = 0 // * (3*x-2)*(x-1)

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x = 2

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