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

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


D( x )

x+4 = 0

2*x-4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

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

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

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

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

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

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

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

9*x-36 = 0

(9*x-36)/((x+4)*(2*x-4)) = 0

(9*x-36)/((x+4)*(2*x-4)) = 0 // * (x+4)*(2*x-4)

9*x-36 = 0

9*x-36 = 0 // + 36

9*x = 36 // : 9

x = 36/9

x = 4

x = 4

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