5(3n+2)=8(4n+5)+7

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Solution for 5(3n+2)=8(4n+5)+7 equation: 



5(3n+2)=8(4n+5)+7

We move all terms to the left:

5(3n+2)-(8(4n+5)+7)=0

We multiply parentheses

15n-(8(4n+5)+7)+10=0



We calculate terms in parentheses: -(8(4n+5)+7), so:

8(4n+5)+7

We multiply parentheses

32n+40+7

We add all the numbers together, and all the variables

32n+47

Back to the equation:

-(32n+47)



We get rid of parentheses

15n-32n-47+10=0

We add all the numbers together, and all the variables

-17n-37=0

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

-17n=37

n=37/-17

n=-2+3/17

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