x/(27-x)=4/5

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Solution for x/(27-x)=4/5 equation: 



x/(27-x)=4/5

We move all terms to the left:

x/(27-x)-(4/5)=0



Domain of the equation: (27-x)!=0

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

-x!=-27

x!=-27/-1

x!=+27

x∈R



We add all the numbers together, and all the variables

x/(-1x+27)-(+4/5)=0

We get rid of parentheses

x/(-1x+27)-4/5=0

We calculate fractions


5x/(-5x+135)+(4x-108)/(-5x+135)=0

We multiply all the terms by the denominator


5x+(4x-108)=0

We get rid of parentheses

5x+4x-108=0

We add all the numbers together, and all the variables

9x-108=0

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

9x=108

x=108/9

x=12

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