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(x+5)/2+(x-1)/2=(x-1)/3
We simplify the equation to the form, which is simple to understand
(x+5)/2+(x-1)/2=(x-1)/3
Reorder the terms in parentheses
( + 0.5x+2.5)+(x-1)/2=(x-1)/3
Remove unnecessary parentheses
+ 0.5x+2.5+(x-1)/2=(x-1)/3
Reorder the terms in parentheses
+ 0.5x+2.5+( + 0.5x-0.5)=(x-1)/3
Remove unnecessary parentheses
+ 0.5x+2.5 + 0.5x-0.5=+(+x-1+)+/3
Reorder the terms in parentheses
+ 0.5x+2.5 + 0.5x-0.5=( + 0.333333333333x-0.333333333333)
Remove unnecessary parentheses
+ 0.5x+2.5 + 0.5x-0.5=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=-0.333333333333-2.5 + 0.5
We simplify left and right side of the equation.
+ 0.666666666667x=-2.33333333333
We divide both sides of the equation by 0.666666666667 to get x.
x=-3.5
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