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3(2x-4)-4(x-3)=x+3-(2x-2)
We simplify the equation to the form, which is simple to understand
3(2x-4)-4(x-3)=x+3-(2x-2)
Reorder the terms in parentheses
+(+6x-12)-4*(x-3)=x+3-(2x-2)
Remove unnecessary parentheses
+6x-12-4+*(+x-3+)=+x+3-(+2x-2+)
Reorder the terms in parentheses
+6x-12+(-4x+12)=x+3-(2x-2)
Remove unnecessary parentheses
+6x-12-4x+12=+x+3-(+2x-2+)
Remove unnecessary parentheses
+6x-12-4x+12=x+3-2x+2
We move all terms containing x to the left and all other terms to the right.
+6x-4x-1x+2x=+3+2+12-12
We simplify left and right side of the equation.
+3x=+5
We divide both sides of the equation by 3 to get x.
x=1.6666666666667
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