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

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



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

We move all terms to the left:

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

We multiply parentheses

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



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

-3(x-2)

We multiply parentheses

-3x+6

Back to the equation:

-(-3x+6)



We add all the numbers together, and all the variables

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

We get rid of parentheses

-1x+3x-6+2=0

We add all the numbers together, and all the variables

2x-4=0

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

2x=4

x=4/2

x=2

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