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3(x-2)+2(4-x)=6
We simplify the equation to the form, which is simple to understand
3(x-2)+2(4-x)=6
Reorder the terms in parentheses
+(+3x-6)+2*(4-x)=6
Remove unnecessary parentheses
+3x-6+2+*(+4-x+)=+6
Reorder the terms in parentheses
+3x-6+(+8-2x)=6
Remove unnecessary parentheses
+3x-6+8-2x=+6
We move all terms containing x to the left and all other terms to the right.
+3x-2x=+6+6-8
We simplify left and right side of the equation.
+1x=+4
We divide both sides of the equation by 1 to get x.
x=4
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