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1/2(x-2)-(x-3)=1-(x-2)
We simplify the equation to the form, which is simple to understand
1/2(x-2)-(x-3)=1-(x-2)
Simplifying:
+ 0.5*(x-2)-(x-3)=1-(x-2)
Reorder the terms in parentheses
+( + 0.5x-1)-(x-3)=1-(x-2)
Remove unnecessary parentheses
+ 0.5x-1-(+x-3+)=+1-(+x-2+)
Remove unnecessary parentheses
+ 0.5x-1-1x+3=1-(x-2)
Remove unnecessary parentheses
+ 0.5x-1-1x+3=1-1x+2
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-1x+1x=+1+2+1-3
We simplify left and right side of the equation.
+ 0.5x=+1
We divide both sides of the equation by 0.5 to get x.
x=2
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