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2(x-3)=4(-2x+6)
We simplify the equation to the form, which is simple to understand
2(x-3)=4(-2x+6)
Reorder the terms in parentheses
+(+2x-6)=4*(-2x+6)
Remove unnecessary parentheses
+2x-6=+4+*(-2x+6+)
Reorder the terms in parentheses
+2x-6=+(-8x+24)
Remove unnecessary parentheses
+2x-6=-8x+24
We move all terms containing x to the left and all other terms to the right.
+2x+8x=+24+6
We simplify left and right side of the equation.
+10x=+30
We divide both sides of the equation by 10 to get x.
x=3
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