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2(x+3)-3(2x-4)=2(x-3)
We simplify the equation to the form, which is simple to understand
2(x+3)-3(2x-4)=2(x-3)
Reorder the terms in parentheses
+(+2x+6)-3*(2x-4)=2*(x-3)
Remove unnecessary parentheses
+2x+6-3+*(+2x-4+)=+2+*(+x-3+)
Reorder the terms in parentheses
+2x+6+(-6x+12)=2*(x-3)
Remove unnecessary parentheses
+2x+6-6x+12=+2+*(+x-3+)
Reorder the terms in parentheses
+2x+6-6x+12=+(+2x-6)
Remove unnecessary parentheses
+2x+6-6x+12=+2x-6
We move all terms containing x to the left and all other terms to the right.
+2x-6x-2x=-6-6-12
We simplify left and right side of the equation.
-6x=-24
We divide both sides of the equation by -6 to get x.
x=4
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