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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

-1n+3(5n+2)-(2(n-3))=0

We multiply parentheses

-1n+15n-(2(n-3))+6=0


We calculate terms in parentheses: -(2(n-3)), so:

2(n-3)

We multiply parentheses

2n-6

Back to the equation:

-(2n-6)


We add all the numbers together, and all the variables

14n-(2n-6)+6=0

We get rid of parentheses

14n-2n+6+6=0

We add all the numbers together, and all the variables

12n+12=0

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

12n=-12

n=-12/12

n=-1