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(2x-3)/4-(4-x)/2=(x+1)/3
We simplify the equation to the form, which is simple to understand
(2x-3)/4-(4-x)/2=(x+1)/3
Reorder the terms in parentheses
( + 0.5x-0.75)-(4-x)/2=(x+1)/3
Remove unnecessary parentheses
+ 0.5x-0.75-(4-x)/2=(x+1)/3
Reorder the terms in parentheses
+ 0.5x-0.75-(+2-0.5x)=(x+1)/3
Remove unnecessary parentheses
+ 0.5x-0.75-2 + 0.5x=(x+1)/3
Reorder the terms in parentheses
+ 0.5x-0.75-2 + 0.5x=( + 0.333333333333x + 0.333333333333)
Remove unnecessary parentheses
+ 0.5x-0.75-2 + 0.5x=0.333333333333x + 0.333333333333
We move all terms containing x to the left and all other terms to the right.
+ 0.5x + 0.5x-0.333333333333x=0.333333333333 + 0.75+2
We simplify left and right side of the equation.
+ 0.666666666667x=+3.08333333333
We divide both sides of the equation by 0.666666666667 to get x.
x=4.625
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