1/(x-5)=10

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Solution for 1/(x-5)=10 equation: 



1/(x-5)=10

We move all terms to the left:

1/(x-5)-(10)=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


-10*(x-5)+1=0

We multiply parentheses

-10x+50+1=0

We add all the numbers together, and all the variables

-10x+51=0

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

-10x=-51

x=-51/-10

x=5+1/10

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