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

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

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

We move all terms to the left:

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

We multiply parentheses

15n-(9(5n+6)+9)+10=0


We calculate terms in parentheses: -(9(5n+6)+9), so:

9(5n+6)+9

We multiply parentheses

45n+54+9

We add all the numbers together, and all the variables

45n+63

Back to the equation:

-(45n+63)


We get rid of parentheses

15n-45n-63+10=0

We add all the numbers together, and all the variables

-30n-53=0

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

-30n=53

n=53/-30

n=-1+23/30