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2(x+1)=3(2x-2)
We simplify the equation to the form, which is simple to understand
2(x+1)=3(2x-2)
Reorder the terms in parentheses
+(+2x+2)=3*(2x-2)
Remove unnecessary parentheses
+2x+2=+3+*(+2x-2+)
Reorder the terms in parentheses
+2x+2=+(+6x-6)
Remove unnecessary parentheses
+2x+2=+6x-6
We move all terms containing x to the left and all other terms to the right.
+2x-6x=-6-2
We simplify left and right side of the equation.
-4x=-8
We divide both sides of the equation by -4 to get x.
x=2
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