(4n+6)/(5n+8)=11/14

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Solution for (4n+6)/(5n+8)=11/14 equation: 



(4n+6)/(5n+8)=11/14

We move all terms to the left:

(4n+6)/(5n+8)-(11/14)=0



Domain of the equation: (5n+8)!=0

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

5n!=-8

n!=-8/5

n!=-1+3/5

n∈R



We add all the numbers together, and all the variables

(4n+6)/(5n+8)-(+11/14)=0

We get rid of parentheses

(4n+6)/(5n+8)-11/14=0

We calculate fractions


(56n+84)/(70n+112)+(-55n-88)/(70n+112)=0

We multiply all the terms by the denominator


(56n+84)+(-55n-88)=0

We get rid of parentheses

56n-55n+84-88=0

We add all the numbers together, and all the variables

n-4=0

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

n=4

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