5(3n+3)=6(7n+9)+2

Solution for 5(3n+3)=6(7n+9)+2 equation:

5(3n+3)=6(7n+9)+2

We move all terms to the left:

5(3n+3)-(6(7n+9)+2)=0

We multiply parentheses

15n-(6(7n+9)+2)+15=0


We calculate terms in parentheses: -(6(7n+9)+2), so:

6(7n+9)+2

We multiply parentheses

42n+54+2

We add all the numbers together, and all the variables

42n+56

Back to the equation:

-(42n+56)


We get rid of parentheses

15n-42n-56+15=0

We add all the numbers together, and all the variables

-27n-41=0

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

-27n=41

n=41/-27

n=-1+14/27