2(x-4)=2(2-5x)

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Solution for 2(x-4)=2(2-5x) equation: 



2(x-4)=2(2-5x)

We move all terms to the left:

2(x-4)-(2(2-5x))=0

We add all the numbers together, and all the variables

2(x-4)-(2(-5x+2))=0

We multiply parentheses

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



We calculate terms in parentheses: -(2(-5x+2)), so:

2(-5x+2)

We multiply parentheses

-10x+4

Back to the equation:

-(-10x+4)



We get rid of parentheses

2x+10x-4-8=0

We add all the numbers together, and all the variables

12x-12=0

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

12x=12

x=12/12

x=1

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