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2(x-3)-4(3+x)=-3(x+2)+2(2x+1)
We simplify the equation to the form, which is simple to understand
2(x-3)-4(3+x)=-3(x+2)+2(2x+1)
Reorder the terms in parentheses
+(+2x-6)-4*(3+x)=-3*(x+2)+2*(2x+1)
Remove unnecessary parentheses
+2x-6-4+*(+3+x+)=-3+*(+x+2+)+2+*(+2x+1+)
Reorder the terms in parentheses
+2x-6+(-12-4x)=-3*(x+2)+2*(2x+1)
Remove unnecessary parentheses
+2x-6-12-4x=-3+*(+x+2+)+2+*(+2x+1+)
Reorder the terms in parentheses
+2x-6-12-4x=+(-3x-6)+2*(2x+1)
Remove unnecessary parentheses
+2x-6-12-4x=-3x-6+2+*(+2x+1+)
Reorder the terms in parentheses
+2x-6-12-4x=-3x-6+(+4x+2)
Remove unnecessary parentheses
+2x-6-12-4x=-3x-6+4x+2
We move all terms containing x to the left and all other terms to the right.
+2x-4x+3x-4x=-6+2+6+12
We simplify left and right side of the equation.
-3x=+14
We divide both sides of the equation by -3 to get x.
x=-4.66666666667
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