7(x-1)=2(10-x)

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Solution for 7(x-1)=2(10-x) equation: 



7(x-1)=2(10-x)

We move all terms to the left:

7(x-1)-(2(10-x))=0

We add all the numbers together, and all the variables

7(x-1)-(2(-1x+10))=0

We multiply parentheses

7x-(2(-1x+10))-7=0



We calculate terms in parentheses: -(2(-1x+10)), so:

2(-1x+10)

We multiply parentheses

-2x+20

Back to the equation:

-(-2x+20)



We get rid of parentheses

7x+2x-20-7=0

We add all the numbers together, and all the variables

9x-27=0

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

9x=27

x=27/9

x=3

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