(2x-3)/(x-4)=(2/3)

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Solution for (2x-3)/(x-4)=(2/3) equation:


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

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

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

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

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

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

4*x-1 = 0

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

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

4*x-1 = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

x = 1/4

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