.1=(x-10)/x

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



.1=(x-10)/x

We move all terms to the left:

.1-((x-10)/x)=0



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

-((x-10)/x)+0.1=0

We multiply all the terms by the denominator


-((x-10)+(0.1)*x)=0



We calculate terms in parentheses: -((x-10)+(0.1)*x), so:

(x-10)+(0.1)*x

We multiply parentheses

(x-10)+0.1x

We get rid of parentheses

x+0.1x-10

We add all the numbers together, and all the variables

1.1x-10

Back to the equation:

-(1.1x-10)



We get rid of parentheses

-1.1x+10=0

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

-1.1x=-10

x=-10/-1.1

x=9+0.1/1.1

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