30*2.71828^(.1*11)=34.5x+25.5*(1-x)

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Solution for 30*2.71828^(.1*11)=34.5x+25.5*(1-x) equation: 



30*2.71828^(.1*11)=34.5x+25.5(1-x)

We move all terms to the left:

30*2.71828^(.1*11)-(34.5x+25.5(1-x))=0

We add all the numbers together, and all the variables

-(34.5x+25.5(-1x+1))+30*2.71828^(1.1)=0

We add all the numbers together, and all the variables

-(34.5x+25.5(-1x+1))+90.1249140333=0



We calculate terms in parentheses: -(34.5x+25.5(-1x+1)), so:

34.5x+25.5(-1x+1)

We multiply parentheses

34.5x-25.5x+25.5

We add all the numbers together, and all the variables

9x+25.5

Back to the equation:

-(9x+25.5)



We get rid of parentheses

-9x-25.5+90.1249140333=0

We add all the numbers together, and all the variables

-9x+64.6249140333=0

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

-9x=-64.6249140333

x=-64.6249140333/-9

x=7+1/5.53875455289

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