(3(7n+13))/(12n+15)=2

Solution for (3(7n+13))/(12n+15)=2 equation:

(3(7n+13))/(12n+15)=2

We move all terms to the left:

(3(7n+13))/(12n+15)-(2)=0


Domain of the equation: (12n+15)!=0

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

12n!=-15

n!=-15/12

n!=-1+1/4

n∈R


We multiply all the terms by the denominator


(3(7n+13))-2*(12n+15)=0


We calculate terms in parentheses: +(3(7n+13)), so:

3(7n+13)

We multiply parentheses

21n+39

Back to the equation:

+(21n+39)


We multiply parentheses

(21n+39)-24n-30=0

We get rid of parentheses

21n-24n+39-30=0

We add all the numbers together, and all the variables

-3n+9=0

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

-3n=-9

n=-9/-3

n=+3