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

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


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

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

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

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

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

4*x-2*x-4+8 = 0

2*x+4 = 0

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

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

2*x+4 = 0

2*x+4 = 0 // - 4

2*x = -4 // : 2

x = -4/2

x = -2

x in { -2} 

x belongs to the empty set

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