(3x+8)/(2x-3)=4

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Solution for (3x+8)/(2x-3)=4 equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:+oo)

(3*x+8)/(2*x-3) = 4 // - 4

(3*x+8)/(2*x-3)-4 = 0

(3*x+8)/(2*x-3)+(-4*(2*x-3))/(2*x-3) = 0

3*x-4*(2*x-3)+8 = 0

20-5*x = 0

(20-5*x)/(2*x-3) = 0

(20-5*x)/(2*x-3) = 0 // * 2*x-3

20-5*x = 0

20-5*x = 0 // - 20

-5*x = -20 // : -5

x = -20/(-5)

x = 4

x = 4

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