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3(2+x)+4(3-2x)+4(2x-3)=6-x
We simplify the equation to the form, which is simple to understand
3(2+x)+4(3-2x)+4(2x-3)=6-x
Reorder the terms in parentheses
+(+6+3x)+4*(3-2x)+4*(2x-3)=6-x
Remove unnecessary parentheses
+6+3x+4+*(+3-2x+)+4+*(+2x-3+)=+6-x
Reorder the terms in parentheses
+6+3x+(+12-8x)+4*(2x-3)=6-x
Remove unnecessary parentheses
+6+3x+12-8x+4+*(+2x-3+)=+6-x
Reorder the terms in parentheses
+6+3x+12-8x+(+8x-12)=6-x
Remove unnecessary parentheses
+6+3x+12-8x+8x-12=+6-x
We move all terms containing x to the left and all other terms to the right.
+3x-8x+8x+1x=+6-6-12+12
We simplify left and right side of the equation.
+4x=0
We divide both sides of the equation by 4 to get x.
x=0
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