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1/2(2-6)-4(x+3/2)=-(x-3)+4
We simplify the equation to the form, which is simple to understand
1/2(2-6)-4(x+3/2)=-(x-3)+4
Reorder the terms in parentheses
+(-2)-4*(x+1.5)=-(x-3)+4
Remove unnecessary parentheses
-2-4+*(+x+1.5+)=-(+x-3+)+4
Reorder the terms in parentheses
-2+(-4x-6)=-(x-3)+4
Remove unnecessary parentheses
-2-4x-6=-(+x-3+)+4
Remove unnecessary parentheses
-2-4x-6=-1x+3+4
We move all terms containing x to the left and all other terms to the right.
-4x+1x=+3+4+2+6
We simplify left and right side of the equation.
-3x=+15
We divide both sides of the equation by -3 to get x.
x=-5
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