4(2n-2)+8n=5(n+2)+2n

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Solution for 4(2n-2)+8n=5(n+2)+2n equation: 



4(2n-2)+8n=5(n+2)+2n

We move all terms to the left:

4(2n-2)+8n-(5(n+2)+2n)=0

We add all the numbers together, and all the variables

8n+4(2n-2)-(5(n+2)+2n)=0

We multiply parentheses

8n+8n-(5(n+2)+2n)-8=0



We calculate terms in parentheses: -(5(n+2)+2n), so:

5(n+2)+2n

We add all the numbers together, and all the variables

2n+5(n+2)

We multiply parentheses

2n+5n+10

We add all the numbers together, and all the variables

7n+10

Back to the equation:

-(7n+10)



We add all the numbers together, and all the variables

16n-(7n+10)-8=0

We get rid of parentheses

16n-7n-10-8=0

We add all the numbers together, and all the variables

9n-18=0

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

9n=18

n=18/9

n=2

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