5(n+2)+2=6(n+6)+7n

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Solution for 5(n+2)+2=6(n+6)+7n equation: 



5(n+2)+2=6(n+6)+7n

We move all terms to the left:

5(n+2)+2-(6(n+6)+7n)=0

We multiply parentheses

5n-(6(n+6)+7n)+10+2=0



We calculate terms in parentheses: -(6(n+6)+7n), so:

6(n+6)+7n

We add all the numbers together, and all the variables

7n+6(n+6)

We multiply parentheses

7n+6n+36

We add all the numbers together, and all the variables

13n+36

Back to the equation:

-(13n+36)



We add all the numbers together, and all the variables

5n-(13n+36)+12=0

We get rid of parentheses

5n-13n-36+12=0

We add all the numbers together, and all the variables

-8n-24=0

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

-8n=24

n=24/-8

n=-3

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