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

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Solution for ((1-2x)/(3x-2))=(1/2) 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)

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

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

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

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

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

4-7*x = 0

(4-7*x)/(2*(3*x-2)) = 0

(4-7*x)/(2*(3*x-2)) = 0 // * 2*(3*x-2)

4-7*x = 0

4-7*x = 0 // - 4

-7*x = -4 // : -7

x = -4/(-7)

x = 4/7

x = 4/7

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