85.47=x(84.9118)+(1-x)(86.9092)

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Solution for 85.47=x(84.9118)+(1-x)(86.9092) equation: 



85.47=x(84.9118)+(1-x)(86.9092)

We move all terms to the left:

85.47-(x(84.9118)+(1-x)(86.9092))=0

We add all the numbers together, and all the variables

-(x(84.9118)+(-1x+1)(86.9092))+85.47=0

We multiply parentheses ..

-(x(84.9118)+(-86.9092x+86.9092))+85.47=0



We calculate terms in parentheses: -(x(84.9118)+(-86.9092x+86.9092)), so:

x(84.9118)+(-86.9092x+86.9092)

We multiply parentheses

84.9118x+(-86.9092x+86.9092)

We get rid of parentheses

84.9118x-86.9092x+86.9092

We add all the numbers together, and all the variables

-1.9974x+86.9092

Back to the equation:

-(-1.9974x+86.9092)



We get rid of parentheses

1.9974x-86.9092+85.47=0

We add all the numbers together, and all the variables

1.9974x-1.4392=0

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

1.9974x=1.4392

x=1.4392/1.9974

x=1/1.3878543635353

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