(5x-2)/(5x+2)=(x+2)/(x+4)

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Solution for (5x-2)/(5x+2)=(x+2)/(x+4) equation: 


D( x )

x+4 = 0

5*x+2 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

5*x+2 = 0

5*x+2 = 0

5*x+2 = 0 // - 2

5*x = -2 // : 5

x = -2/5

x in (-oo:-4) U (-4:-2/5) U (-2/5:+oo)

(5*x-2)/(5*x+2) = (x+2)/(x+4) // - (x+2)/(x+4)

(5*x-2)/(5*x+2)-((x+2)/(x+4)) = 0

(5*x-2)/(5*x+2)+(-1*(x+2))/(x+4) = 0

((5*x-2)*(x+4))/((5*x+2)*(x+4))+(-1*(x+2)*(5*x+2))/((5*x+2)*(x+4)) = 0

(5*x-2)*(x+4)-1*(x+2)*(5*x+2) = 0

6*x-12 = 0

(6*x-12)/((5*x+2)*(x+4)) = 0

(6*x-12)/((5*x+2)*(x+4)) = 0 // * (5*x+2)*(x+4)

6*x-12 = 0

6*x-12 = 0 // + 12

6*x = 12 // : 6

x = 12/6

x = 2

x = 2

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