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

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



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

We move all terms to the left:

((.1-x)/x)-(5)=0



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

((-1x+0.1)/x)-5=0

We multiply all the terms by the denominator


((-1x+0.1)-5*x)=0



We calculate terms in parentheses: +((-1x+0.1)-5*x), so:

(-1x+0.1)-5*x

We add all the numbers together, and all the variables

-5x+(-1x+0.1)

We get rid of parentheses

-5x-1x+0.1

We add all the numbers together, and all the variables

-6x+0.1

Back to the equation:

+(-6x+0.1)



We get rid of parentheses

-6x+0.1=0

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

-6x=-0.1

x=-0.1/-6

x=0.1/6

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