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(x-2)-2(x-1)=x+1-(x-2)
We simplify the equation to the form, which is simple to understand
(x-2)-2(x-1)=x+1-(x-2)
Remove unnecessary parentheses
x-2-2*(x-1)=x+1-(x-2)
Reorder the terms in parentheses
x-2+(-2x+2)=x+1-(x-2)
Remove unnecessary parentheses
+x-2-2x+2=+x+1-(+x-2+)
Remove unnecessary parentheses
x-2-2x+2=x+1-1x+2
We move all terms containing x to the left and all other terms to the right.
+1x-2x-1x+1x=+1+2+2-2
We simplify left and right side of the equation.
-1x=+3
We divide both sides of the equation by -1 to get x.
x=-3
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