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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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



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

3x-2(-1x+3)

We multiply parentheses

3x+2x-6

We add all the numbers together, and all the variables

5x-6

Back to the equation:

-(5x-6)



We get rid of parentheses

2x-5x+6=0

We add all the numbers together, and all the variables

-3x+6=0

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

-3x=-6

x=-6/-3

x=+2

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