2-(x-5)=3(3-x)

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Solution for 2-(x-5)=3(3-x) equation: 



2-(x-5)=3(3-x)

We move all terms to the left:

2-(x-5)-(3(3-x))=0

We add all the numbers together, and all the variables

-(x-5)-(3(-1x+3))+2=0

We get rid of parentheses

-x-(3(-1x+3))+5+2=0



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

3(-1x+3)

We multiply parentheses

-3x+9

Back to the equation:

-(-3x+9)



We add all the numbers together, and all the variables

-1x-(-3x+9)+7=0

We get rid of parentheses

-1x+3x-9+7=0

We add all the numbers together, and all the variables

2x-2=0

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

2x=2

x=2/2

x=1

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