2(1/2x+6)=3(x+-3)

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Solution for 2(1/2x+6)=3(x+-3) equation: 



2(1/2x+6)=3(x+-3)

We move all terms to the left:

2(1/2x+6)-(3(x+-3))=0



Domain of the equation: 2x+6)!=0

x∈R



We add all the numbers together, and all the variables

2(1/2x+6)-(3(x-3))=0

We multiply parentheses

2x-(3(x-3))+12=0



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

3(x-3)

We multiply parentheses

3x-9

Back to the equation:

-(3x-9)



We get rid of parentheses

2x-3x+9+12=0

We add all the numbers together, and all the variables

-1x+21=0

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

-x=-21

x=-21/-1

x=+21

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