38.5=(x*27)+((1-x)*45)

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Solution for 38.5=(x*27)+((1-x)*45) equation: 



38.5=(x*27)+((1-x)*45)

We move all terms to the left:

38.5-((x*27)+((1-x)*45))=0

We add all the numbers together, and all the variables

-((+x*27)+((-1x+1)*45))+38.5=0



We calculate terms in parentheses: -((+x*27)+((-1x+1)*45)), so:

(+x*27)+((-1x+1)*45)

We get rid of parentheses

x*27+((-1x+1)*45)



We calculate terms in parentheses: +((-1x+1)*45), so:

(-1x+1)*45

We multiply parentheses

-45x+45

Back to the equation:

+(-45x+45)



Wy multiply elements

27x+(-45x+45)

We get rid of parentheses

27x-45x+45

We add all the numbers together, and all the variables

-18x+45

Back to the equation:

-(-18x+45)



We get rid of parentheses

18x-45+38.5=0

We add all the numbers together, and all the variables

18x-6.5=0

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

18x=6.5

x=6.5/18

x=1/2.7692307692308

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