(1/(x-4))=6

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Solution for (1/(x-4))=6 equation: 



(1/(x-4))=6

We move all terms to the left:

(1/(x-4))-(6)=0



Domain of the equation: (x-4))!=0

x∈R



We multiply all the terms by the denominator


(1-6*(x-4))=0



We calculate terms in parentheses: +(1-6*(x-4)), so:

1-6*(x-4)

determiningTheFunctionDomain
-6*(x-4)+1

We multiply parentheses

-6x+24+1

We add all the numbers together, and all the variables

-6x+25

Back to the equation:

+(-6x+25)



We get rid of parentheses

-6x+25=0

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

-6x=-25

x=-25/-6

x=4+1/6

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