0.85=(100-x)/x

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Solution for 0.85=(100-x)/x equation: 



0.85=(100-x)/x

We move all terms to the left:

0.85-((100-x)/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

-((-1x+100)/x)+0.85=0

We multiply all the terms by the denominator


-((-1x+100)+(0.85)*x)=0



We calculate terms in parentheses: -((-1x+100)+(0.85)*x), so:

(-1x+100)+(0.85)*x

We multiply parentheses

(-1x+100)+0.85x

We get rid of parentheses

-1x+0.85x+100

We add all the numbers together, and all the variables

-0.15x+100

Back to the equation:

-(-0.15x+100)



We get rid of parentheses

0.15x-100=0

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

0.15x=100

x=100/0.15

x=666+0.10000000000001/0.15

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