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

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



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

We move all terms to the left:

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



Domain of the equation: (x-5)!=0

We move all terms containing x to the left, all other terms to the right

x!=5

x∈R



We multiply all the terms by the denominator


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

We multiply parentheses

(x+5)-5x+25=0

We get rid of parentheses

x-5x+5+25=0

We add all the numbers together, and all the variables

-4x+30=0

We move all terms containing x to the left, all other terms to the right

-4x=-30

x=-30/-4

x=7+1/2

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