(x+4)/(3x-2)=4.5/9

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Solution for (x+4)/(3x-2)=4.5/9 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+4)/(3*x-2) = 4.5/9 // - 4.5/9

(x+4)/(3*x-2)-(4.5/9) = 0

(x+4)/(3*x-2)-0.5 = 0

(x+4)/(3*x-2)+(-0.5*(3*x-2))/(3*x-2) = 0

x-0.5*(3*x-2)+4 = 0

5-0.5*x = 0

(5-0.5*x)/(3*x-2) = 0

(5-0.5*x)/(3*x-2) = 0 // * 3*x-2

5-0.5*x = 0

5-0.5*x = 0 // - 5

-0.5*x = -5 // : -0.5

x = -5/(-0.5)

x = 10

x = 10

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