(3x+5)/(4x-7)=9

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Solution for (3x+5)/(4x-7)=9 equation: 


D( x )

4*x-7 = 0

4*x-7 = 0

4*x-7 = 0

4*x-7 = 0 // + 7

4*x = 7 // : 4

x = 7/4

x in (-oo:7/4) U (7/4:+oo)

(3*x+5)/(4*x-7) = 9 // - 9

(3*x+5)/(4*x-7)-9 = 0

(3*x+5)/(4*x-7)+(-9*(4*x-7))/(4*x-7) = 0

3*x-9*(4*x-7)+5 = 0

68-33*x = 0

(68-33*x)/(4*x-7) = 0

(68-33*x)/(4*x-7) = 0 // * 4*x-7

68-33*x = 0

68-33*x = 0 // - 68

-33*x = -68 // : -33

x = -68/(-33)

x = 68/33

x = 68/33

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