4n/(5n+7)=2/3

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Solution for 4n/(5n+7)=2/3 equation: 



4n/(5n+7)=2/3

We move all terms to the left:

4n/(5n+7)-(2/3)=0



Domain of the equation: (5n+7)!=0

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

5n!=-7

n!=-7/5

n!=-1+2/5

n∈R



We add all the numbers together, and all the variables

4n/(5n+7)-(+2/3)=0

We get rid of parentheses

4n/(5n+7)-2/3=0

We calculate fractions


12n/(15n+21)+(-10n-14)/(15n+21)=0

We multiply all the terms by the denominator


12n+(-10n-14)=0

We get rid of parentheses

12n-10n-14=0

We add all the numbers together, and all the variables

2n-14=0

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

2n=14

n=14/2

n=7

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