7(3n+5)=7(6n+6)+1

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Solution for 7(3n+5)=7(6n+6)+1 equation: 



7(3n+5)=7(6n+6)+1

We move all terms to the left:

7(3n+5)-(7(6n+6)+1)=0

We multiply parentheses

21n-(7(6n+6)+1)+35=0



We calculate terms in parentheses: -(7(6n+6)+1), so:

7(6n+6)+1

We multiply parentheses

42n+42+1

We add all the numbers together, and all the variables

42n+43

Back to the equation:

-(42n+43)



We get rid of parentheses

21n-42n-43+35=0

We add all the numbers together, and all the variables

-21n-8=0

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

-21n=8

n=8/-21

n=-8/21

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