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(x-5)/2-(x-3)/2=4(x-2)
We simplify the equation to the form, which is simple to understand
(x-5)/2-(x-3)/2=4(x-2)
Reorder the terms in parentheses
( + 0.5x-2.5)-(x-3)/2=4*(x-2)
Remove unnecessary parentheses
+ 0.5x-2.5-(x-3)/2=4*(x-2)
Reorder the terms in parentheses
+ 0.5x-2.5-( + 0.5x-1.5)=4*(x-2)
Remove unnecessary parentheses
+ 0.5x-2.5-0.5x+1.5=4*(x-2)
Reorder the terms in parentheses
+ 0.5x-2.5-0.5x+1.5=+(+4x-8)
Remove unnecessary parentheses
+ 0.5x-2.5-0.5x+1.5=+4x-8
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.5x-4x=-8+2.5-1.5
We simplify left and right side of the equation.
-4x=-7
We divide both sides of the equation by -4 to get x.
x=1.75
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