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3(x+2)-2(x+3)+4(2-x)=0
We simplify the equation to the form, which is simple to understand
3(x+2)-2(x+3)+4(2-x)=0
Reorder the terms in parentheses
+(+3x+6)-2*(x+3)+4*(2-x)=0
Remove unnecessary parentheses
+3x+6-2+*(+x+3+)+4+*(+2-x+)=0
Reorder the terms in parentheses
+3x+6+(-2x-6)+4*(2-x)=0
Remove unnecessary parentheses
+3x+6-2x-6+4+*(+2-x+)=0
Reorder the terms in parentheses
+3x+6-2x-6+(+8-4x)=0
Remove unnecessary parentheses
+3x+6-2x-6+8-4x=0
We move all terms containing x to the left and all other terms to the right.
+3x-2x-4x=0-6+6-8
We simplify left and right side of the equation.
-3x=-8
We divide both sides of the equation by -3 to get x.
x=2.66666666667
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