((3x+3)/(5x-2))=(3/4)

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Solution for ((3x+3)/(5x-2))=(3/4) equation: 


D( x )

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

x in (-oo:2/5) U (2/5:+oo)

(3*x+3)/(5*x-2) = 3/4 // - 3/4

(3*x+3)/(5*x-2)-(3/4) = 0

(3*x+3)/(5*x-2)-3/4 = 0

(4*(3*x+3))/(4*(5*x-2))+(-3*(5*x-2))/(4*(5*x-2)) = 0

4*(3*x+3)-3*(5*x-2) = 0

18-3*x = 0

(18-3*x)/(4*(5*x-2)) = 0

(18-3*x)/(4*(5*x-2)) = 0 // * 4*(5*x-2)

18-3*x = 0

18-3*x = 0 // - 18

-3*x = -18 // : -3

x = -18/(-3)

x = 6

x = 6

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