1/(x+6)=5

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Solution for 1/(x+6)=5 equation: 



1/(x+6)=5

We move all terms to the left:

1/(x+6)-(5)=0



Domain of the equation: (x+6)!=0

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

x!=-6

x∈R



We multiply all the terms by the denominator


-5*(x+6)+1=0

We multiply parentheses

-5x-30+1=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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