(20+x)/(30+x)=14/19

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Solution for (20+x)/(30+x)=14/19 equation: 



(20+x)/(30+x)=14/19

We move all terms to the left:

(20+x)/(30+x)-(14/19)=0



Domain of the equation: (30+x)!=0

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

x!=-30

x∈R



We add all the numbers together, and all the variables

(x+20)/(x+30)-(+14/19)=0

We get rid of parentheses

(x+20)/(x+30)-14/19=0

We calculate fractions


(19x+380)/(19x+570)+(-14x-420)/(19x+570)=0

We multiply all the terms by the denominator


(19x+380)+(-14x-420)=0

We get rid of parentheses

19x-14x+380-420=0

We add all the numbers together, and all the variables

5x-40=0

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

5x=40

x=40/5

x=8

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