2(3+6n)=5(9-2n)

Solution for 2(3+6n)=5(9-2n) equation:

2(3+6n)=5(9-2n)

We move all terms to the left:

2(3+6n)-(5(9-2n))=0

We add all the numbers together, and all the variables

2(6n+3)-(5(-2n+9))=0

We multiply parentheses

12n-(5(-2n+9))+6=0


We calculate terms in parentheses: -(5(-2n+9)), so:

5(-2n+9)

We multiply parentheses

-10n+45

Back to the equation:

-(-10n+45)


We get rid of parentheses

12n+10n-45+6=0

We add all the numbers together, and all the variables

22n-39=0

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

22n=39

n=39/22

n=1+17/22