5(4n+4)=3(5n-7)+6n

Solution for 5(4n+4)=3(5n-7)+6n equation:

5(4n+4)=3(5n-7)+6n

We move all terms to the left:

5(4n+4)-(3(5n-7)+6n)=0

We multiply parentheses

20n-(3(5n-7)+6n)+20=0


We calculate terms in parentheses: -(3(5n-7)+6n), so:

3(5n-7)+6n

We add all the numbers together, and all the variables

6n+3(5n-7)

We multiply parentheses

6n+15n-21

We add all the numbers together, and all the variables

21n-21

Back to the equation:

-(21n-21)


We get rid of parentheses

20n-21n+21+20=0

We add all the numbers together, and all the variables

-1n+41=0

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

-n=-41

n=-41/-1

n=+41