3(1+4n)=5(n-8)+1

Solution for 3(1+4n)=5(n-8)+1 equation:

3(1+4n)=5(n-8)+1

We move all terms to the left:

3(1+4n)-(5(n-8)+1)=0

We add all the numbers together, and all the variables

3(4n+1)-(5(n-8)+1)=0

We multiply parentheses

12n-(5(n-8)+1)+3=0


We calculate terms in parentheses: -(5(n-8)+1), so:

5(n-8)+1

We multiply parentheses

5n-40+1

We add all the numbers together, and all the variables

5n-39

Back to the equation:

-(5n-39)


We get rid of parentheses

12n-5n+39+3=0

We add all the numbers together, and all the variables

7n+42=0

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

7n=-42

n=-42/7

n=-6