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(x-2)/2-(x-3)/3=1
We simplify the equation to the form, which is simple to understand
(x-2)/2-(x-3)/3=1
Reorder the terms in parentheses
( + 0.5x-1)-(x-3)/3=1
Remove unnecessary parentheses
+ 0.5x-1-(x-3)/3=1
Reorder the terms in parentheses
+ 0.5x-1-( + 0.33333333333333x-1)=1
Remove unnecessary parentheses
+ 0.5x-1-0.33333333333333x+1=1
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.33333333333333x=+1+1-1
We simplify left and right side of the equation.
+ 0.16666666666667x=+1
We divide both sides of the equation by 0.16666666666667 to get x.
x=5.9999999999999
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