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3x-2(x-2)=4(x-1)-2(x+2)+3
We simplify the equation to the form, which is simple to understand
3x-2(x-2)=4(x-1)-2(x+2)+3
Reorder the terms in parentheses
3x+(-2x+4)=4*(x-1)-2*(x+2)+3
Remove unnecessary parentheses
+3x-2x+4=+4+*(+x-1+)-2+*(+x+2+)+3
Reorder the terms in parentheses
3x-2x+4=+(+4x-4)-2*(x+2)+3
Remove unnecessary parentheses
+3x-2x+4=+4x-4-2+*(+x+2+)+3
Reorder the terms in parentheses
3x-2x+4=+4x-4+(-2x-4)+3
Remove unnecessary parentheses
+3x-2x+4=+4x-4-2x-4+3
We move all terms containing x to the left and all other terms to the right.
+3x-2x-4x+2x=-4-4+3-4
We simplify left and right side of the equation.
-1x=-9
We divide both sides of the equation by -1 to get x.
x=9
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