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

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



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

We move all terms to the left:

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

We multiply parentheses

x-6x-(x+3(x-3))+12=0



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

x+3(x-3)

We multiply parentheses

x+3x-9

We add all the numbers together, and all the variables

4x-9

Back to the equation:

-(4x-9)



We add all the numbers together, and all the variables

-5x-(4x-9)+12=0

We get rid of parentheses

-5x-4x+9+12=0

We add all the numbers together, and all the variables

-9x+21=0

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

-9x=-21

x=-21/-9

x=2+1/3

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