7(3n+1)=8(5n+4)+5

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Solution for 7(3n+1)=8(5n+4)+5 equation: 



7(3n+1)=8(5n+4)+5

We move all terms to the left:

7(3n+1)-(8(5n+4)+5)=0

We multiply parentheses

21n-(8(5n+4)+5)+7=0



We calculate terms in parentheses: -(8(5n+4)+5), so:

8(5n+4)+5

We multiply parentheses

40n+32+5

We add all the numbers together, and all the variables

40n+37

Back to the equation:

-(40n+37)



We get rid of parentheses

21n-40n-37+7=0

We add all the numbers together, and all the variables

-19n-30=0

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

-19n=30

n=30/-19

n=-1+11/19

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