2(x-1)=5(8-x)

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Solution for 2(x-1)=5(8-x) equation: 



2(x-1)=5(8-x)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



We calculate terms in parentheses: -(5(-1x+8)), so:

5(-1x+8)

We multiply parentheses

-5x+40

Back to the equation:

-(-5x+40)



We get rid of parentheses

2x+5x-40-2=0

We add all the numbers together, and all the variables

7x-42=0

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

7x=42

x=42/7

x=6

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