4(n+8)=5(n-8)-7n

Solution for 4(n+8)=5(n-8)-7n equation:

4(n+8)=5(n-8)-7n

We move all terms to the left:

4(n+8)-(5(n-8)-7n)=0

We multiply parentheses

4n-(5(n-8)-7n)+32=0


We calculate terms in parentheses: -(5(n-8)-7n), so:

5(n-8)-7n

We add all the numbers together, and all the variables

-7n+5(n-8)

We multiply parentheses

-7n+5n-40

We add all the numbers together, and all the variables

-2n-40

Back to the equation:

-(-2n-40)


We get rid of parentheses

4n+2n+40+32=0

We add all the numbers together, and all the variables

6n+72=0

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

6n=-72

n=-72/6

n=-12