2*(x+2)=3*(2-x)

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Solution for 2*(x+2)=3*(2-x) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(3(-1x+2))+4=0



We calculate terms in parentheses: -(3(-1x+2)), so:

3(-1x+2)

We multiply parentheses

-3x+6

Back to the equation:

-(-3x+6)



We get rid of parentheses

2x+3x-6+4=0

We add all the numbers together, and all the variables

5x-2=0

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

5x=2

x=2/5

x=2/5

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