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(2-x)+3(x-1)-(x-2)=x-1
We simplify the equation to the form, which is simple to understand
(2-x)+3(x-1)-(x-2)=x-1
Remove unnecessary parentheses
2-x+3*(x-1)-(x-2)=x-1
Reorder the terms in parentheses
2-x+(+3x-3)-(x-2)=x-1
Remove unnecessary parentheses
+2-x+3x-3-(+x-2+)=+x-1
Remove unnecessary parentheses
2-x+3x-3-1x+2=x-1
We move all terms containing x to the left and all other terms to the right.
-1x+3x-1x-1x=-1-2+3-2
We simplify left and right side of the equation.
0x=-2
0=-2
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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