3(n-5)=8(n+5)+6n

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Solution for 3(n-5)=8(n+5)+6n equation: 



3(n-5)=8(n+5)+6n

We move all terms to the left:

3(n-5)-(8(n+5)+6n)=0

We multiply parentheses

3n-(8(n+5)+6n)-15=0



We calculate terms in parentheses: -(8(n+5)+6n), so:

8(n+5)+6n

We add all the numbers together, and all the variables

6n+8(n+5)

We multiply parentheses

6n+8n+40

We add all the numbers together, and all the variables

14n+40

Back to the equation:

-(14n+40)



We get rid of parentheses

3n-14n-40-15=0

We add all the numbers together, and all the variables

-11n-55=0

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

-11n=55

n=55/-11

n=-5

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