2(x-2)=7(4-x)

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Solution for 2(x-2)=7(4-x) equation: 



2(x-2)=7(4-x)

We move all terms to the left:

2(x-2)-(7(4-x))=0

We add all the numbers together, and all the variables

2(x-2)-(7(-1x+4))=0

We multiply parentheses

2x-(7(-1x+4))-4=0



We calculate terms in parentheses: -(7(-1x+4)), so:

7(-1x+4)

We multiply parentheses

-7x+28

Back to the equation:

-(-7x+28)



We get rid of parentheses

2x+7x-28-4=0

We add all the numbers together, and all the variables

9x-32=0

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

9x=32

x=32/9

x=3+5/9

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