2(1/2x-4)=-(x-5)

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Solution for 2(1/2x-4)=-(x-5) equation: 



2(1/2x-4)=-(x-5)

We move all terms to the left:

2(1/2x-4)-(-(x-5))=0



Domain of the equation: 2x-4)!=0

x∈R



We multiply parentheses

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



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

-(x-5)

We get rid of parentheses

-x+5

We add all the numbers together, and all the variables

-1x+5

Back to the equation:

-(-1x+5)



We get rid of parentheses

2x+1x-5-8=0

We add all the numbers together, and all the variables

3x-13=0

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

3x=13

x=13/3

x=4+1/3

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