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

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


D( x )

x-2 = 0

2*x+2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

x in (-oo:-1) U (-1:2) U (2:+oo)

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

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

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

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

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

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

14-x = 0

(14-x)/((x-2)*(2*x+2)) = 0

(14-x)/((x-2)*(2*x+2)) = 0 // * (x-2)*(2*x+2)

14-x = 0

14-x = 0 // - 14

-x = -14 // * -1

x = 14

x = 14

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