2(4n-1)=3(4-3n)+3n

Solution for 2(4n-1)=3(4-3n)+3n equation:

2(4n-1)=3(4-3n)+3n

We move all terms to the left:

2(4n-1)-(3(4-3n)+3n)=0

We add all the numbers together, and all the variables

2(4n-1)-(3(-3n+4)+3n)=0

We multiply parentheses

8n-(3(-3n+4)+3n)-2=0


We calculate terms in parentheses: -(3(-3n+4)+3n), so:

3(-3n+4)+3n

We add all the numbers together, and all the variables

3n+3(-3n+4)

We multiply parentheses

3n-9n+12

We add all the numbers together, and all the variables

-6n+12

Back to the equation:

-(-6n+12)


We get rid of parentheses

8n+6n-12-2=0

We add all the numbers together, and all the variables

14n-14=0

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

14n=14

n=14/14

n=1