(X-1)/(3x-2)=10/(3x-2)

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Solution for (X-1)/(3x-2)=10/(3x-2) equation: 


D( x )

3*x-2 = 0

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:+oo)

(X-1)/(3*x-2) = 10/(3*x-2) // - 10/(3*x-2)

(X-1)/(3*x-2)-(10/(3*x-2)) = 0

(X-1)/(3*x-2)-10*(3*x-2)^-1 = 0

(X-1)/(3*x-2)-10/(3*x-2) = 0

X-10-1 = 0

X-11 = 0

(X-11)/(3*x-2) = 0

(X-11)/(3*x-2) = 0 // * 3*x-2

X-11 = 0

x belongs to the empty set

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