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

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Solution for (3x-2)/(7-x)=4 equation: 


D( x )

7-x = 0

7-x = 0

7-x = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

x in (-oo:7) U (7:+oo)

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

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

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

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

7*x-30 = 0

(7*x-30)/(7-x) = 0

(7*x-30)/(7-x) = 0 // * 7-x

7*x-30 = 0

7*x-30 = 0 // + 30

7*x = 30 // : 7

x = 30/7

x = 30/7

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