0,9=(x-1)/x

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Solution for 0,9=(x-1)/x equation: 



0.9=(x-1)/x

We move all terms to the left:

0.9-((x-1)/x)=0



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We multiply all the terms by the denominator


-((x-1)+(0.9)*x)=0



We calculate terms in parentheses: -((x-1)+(0.9)*x), so:

(x-1)+(0.9)*x

We multiply parentheses

(x-1)+0.9x

We get rid of parentheses

x+0.9x-1

We add all the numbers together, and all the variables

1.9x-1

Back to the equation:

-(1.9x-1)



We get rid of parentheses

-1.9x+1=0

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

-1.9x=-1

x=-1/-1.9

x=1/1.9

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