((4x+2)/(4x-3))=((2x+6)/(2x-3))

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Solution for ((4x+2)/(4x-3))=((2x+6)/(2x-3)) equation: 


D( x )

2*x-3 = 0

4*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

4*x-3 = 0

4*x-3 = 0

4*x-3 = 0 // + 3

4*x = 3 // : 4

x = 3/4

x in (-oo:3/4) U (3/4:3/2) U (3/2:+oo)

(4*x+2)/(4*x-3) = (2*x+6)/(2*x-3) // - (2*x+6)/(2*x-3)

(4*x+2)/(4*x-3)-((2*x+6)/(2*x-3)) = 0

(4*x+2)/(4*x-3)+(-1*(2*x+6))/(2*x-3) = 0

((4*x+2)*(2*x-3))/((4*x-3)*(2*x-3))+(-1*(2*x+6)*(4*x-3))/((4*x-3)*(2*x-3)) = 0

(4*x+2)*(2*x-3)-1*(2*x+6)*(4*x-3) = 0

12-26*x = 0

(12-26*x)/((4*x-3)*(2*x-3)) = 0

(12-26*x)/((4*x-3)*(2*x-3)) = 0 // * (4*x-3)*(2*x-3)

12-26*x = 0

12-26*x = 0 // - 12

-26*x = -12 // : -26

x = -12/(-26)

x = 6/13

x = 6/13

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