2(x-4)=3(4-2x)

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Solution for 2(x-4)=3(4-2x) equation: 



2(x-4)=3(4-2x)

We move all terms to the left:

2(x-4)-(3(4-2x))=0

We add all the numbers together, and all the variables

2(x-4)-(3(-2x+4))=0

We multiply parentheses

2x-(3(-2x+4))-8=0



We calculate terms in parentheses: -(3(-2x+4)), so:

3(-2x+4)

We multiply parentheses

-6x+12

Back to the equation:

-(-6x+12)



We get rid of parentheses

2x+6x-12-8=0

We add all the numbers together, and all the variables

8x-20=0

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

8x=20

x=20/8

x=2+1/2

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