2(3n-4)=5(10-n)

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Solution for 2(3n-4)=5(10-n) equation: 



2(3n-4)=5(10-n)

We move all terms to the left:

2(3n-4)-(5(10-n))=0

We add all the numbers together, and all the variables

2(3n-4)-(5(-1n+10))=0

We multiply parentheses

6n-(5(-1n+10))-8=0



We calculate terms in parentheses: -(5(-1n+10)), so:

5(-1n+10)

We multiply parentheses

-5n+50

Back to the equation:

-(-5n+50)



We get rid of parentheses

6n+5n-50-8=0

We add all the numbers together, and all the variables

11n-58=0

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

11n=58

n=58/11

n=5+3/11

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