5(-3n+6)+7n=2(n+5)-12n

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Solution for 5(-3n+6)+7n=2(n+5)-12n equation: 



5(-3n+6)+7n=2(n+5)-12n

We move all terms to the left:

5(-3n+6)+7n-(2(n+5)-12n)=0

We add all the numbers together, and all the variables

7n+5(-3n+6)-(2(n+5)-12n)=0

We multiply parentheses

7n-15n-(2(n+5)-12n)+30=0



We calculate terms in parentheses: -(2(n+5)-12n), so:

2(n+5)-12n

We add all the numbers together, and all the variables

-12n+2(n+5)

We multiply parentheses

-12n+2n+10

We add all the numbers together, and all the variables

-10n+10

Back to the equation:

-(-10n+10)



We add all the numbers together, and all the variables

-8n-(-10n+10)+30=0

We get rid of parentheses

-8n+10n-10+30=0

We add all the numbers together, and all the variables

2n+20=0

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

2n=-20

n=-20/2

n=-10

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