5(3n+3)=6(9n+1)+6

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Solution for 5(3n+3)=6(9n+1)+6 equation: 



5(3n+3)=6(9n+1)+6

We move all terms to the left:

5(3n+3)-(6(9n+1)+6)=0

We multiply parentheses

15n-(6(9n+1)+6)+15=0



We calculate terms in parentheses: -(6(9n+1)+6), so:

6(9n+1)+6

We multiply parentheses

54n+6+6

We add all the numbers together, and all the variables

54n+12

Back to the equation:

-(54n+12)



We get rid of parentheses

15n-54n-12+15=0

We add all the numbers together, and all the variables

-39n+3=0

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

-39n=-3

n=-3/-39

n=1/13

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