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2(x+3)=6(x-4)
We simplify the equation to the form, which is simple to understand
2(x+3)=6(x-4)
Reorder the terms in parentheses
+(+2x+6)=6*(x-4)
Remove unnecessary parentheses
+2x+6=+6+*(+x-4+)
Reorder the terms in parentheses
+2x+6=+(+6x-24)
Remove unnecessary parentheses
+2x+6=+6x-24
We move all terms containing x to the left and all other terms to the right.
+2x-6x=-24-6
We simplify left and right side of the equation.
-4x=-30
We divide both sides of the equation by -4 to get x.
x=7.5
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