(3/(x-5))+2=(1/(x-5))

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Solution for (3/(x-5))+2=(1/(x-5)) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

3/(x-5)+2 = 1/(x-5) // - 1/(x-5)

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

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

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

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

2*(x-5)-1+3 = 0

2*x-10+2 = 0

2*x-8 = 0

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

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

2*x-8 = 0

2*x-8 = 0 // + 8

2*x = 8 // : 2

x = 8/2

x = 4

x = 4

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