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

We move all terms to the left:

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

We get rid of parentheses

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

We multiply all the terms by the denominator

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

We add all the numbers together, and all the variables

(3x-6)-x*2+4=0

Wy multiply elements

(3x-6)-2x+4=0

We get rid of parentheses

3x-2x-6+4=0

We add all the numbers together, and all the variables

x-2=0

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

x=2

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