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

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


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

x in (-oo:0) U (0:5) U (5:+oo)

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

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

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

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

3*x+5*x-25-7 = 0

8*x-32 = 0

(8*x-32)/(x-5) = 0

(8*x-32)/(x-5) = 0 // * x-5

8*x-32 = 0

8*x-32 = 0 // + 32

8*x = 32 // : 8

x = 32/8

x = 4

x = 4

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