2(x-8)=5(7-x)

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Solution for 2(x-8)=5(7-x) equation: 



2(x-8)=5(7-x)

We move all terms to the left:

2(x-8)-(5(7-x))=0

We add all the numbers together, and all the variables

2(x-8)-(5(-1x+7))=0

We multiply parentheses

2x-(5(-1x+7))-16=0



We calculate terms in parentheses: -(5(-1x+7)), so:

5(-1x+7)

We multiply parentheses

-5x+35

Back to the equation:

-(-5x+35)



We get rid of parentheses

2x+5x-35-16=0

We add all the numbers together, and all the variables

7x-51=0

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

7x=51

x=51/7

x=7+2/7

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