2(3n+6)=3(-n+12)

Solution for 2(3n+6)=3(-n+12) equation:

2(3n+6)=3(-n+12)

We move all terms to the left:

2(3n+6)-(3(-n+12))=0

We add all the numbers together, and all the variables

2(3n+6)-(3(-1n+12))=0

We multiply parentheses

6n-(3(-1n+12))+12=0


We calculate terms in parentheses: -(3(-1n+12)), so:

3(-1n+12)

We multiply parentheses

-3n+36

Back to the equation:

-(-3n+36)


We get rid of parentheses

6n+3n-36+12=0

We add all the numbers together, and all the variables

9n-24=0

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

9n=24

n=24/9

n=2+2/3