8(3n+5)=9(5n+9)+1

Solution for 8(3n+5)=9(5n+9)+1 equation:

8(3n+5)=9(5n+9)+1

We move all terms to the left:

8(3n+5)-(9(5n+9)+1)=0

We multiply parentheses

24n-(9(5n+9)+1)+40=0


We calculate terms in parentheses: -(9(5n+9)+1), so:

9(5n+9)+1

We multiply parentheses

45n+81+1

We add all the numbers together, and all the variables

45n+82

Back to the equation:

-(45n+82)


We get rid of parentheses

24n-45n-82+40=0

We add all the numbers together, and all the variables

-21n-42=0

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

-21n=42

n=42/-21

n=-2