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

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


D( x )

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0 // + 7

3*x = 7 // : 3

x = 7/3

x in (-oo:7/3) U (7/3:+oo)

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

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

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

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

23-8*x = 0

(23-8*x)/(3*x-7) = 0

(23-8*x)/(3*x-7) = 0 // * 3*x-7

23-8*x = 0

23-8*x = 0 // - 23

-8*x = -23 // : -8

x = -23/(-8)

x = 23/8

x = 23/8

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