4/(x-5)=5

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Solution for 4/(x-5)=5 equation: 



4/(x-5)=5

We move all terms to the left:

4/(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


-5*(x-5)+4=0

We multiply parentheses

-5x+25+4=0

We add all the numbers together, and all the variables

-5x+29=0

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

-5x=-29

x=-29/-5

x=5+4/5

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