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3(x-3)-2(1-x)=2x-2(x+4)+7
We simplify the equation to the form, which is simple to understand
3(x-3)-2(1-x)=2x-2(x+4)+7
Reorder the terms in parentheses
+(+3x-9)-2*(1-x)=2x-2*(x+4)+7
Remove unnecessary parentheses
+3x-9-2+*(+1-x+)=+2x-2+*(+x+4+)+7
Reorder the terms in parentheses
+3x-9+(-2+2x)=2x-2*(x+4)+7
Remove unnecessary parentheses
+3x-9-2+2x=+2x-2+*(+x+4+)+7
Reorder the terms in parentheses
+3x-9-2+2x=2x+(-2x-8)+7
Remove unnecessary parentheses
+3x-9-2+2x=+2x-2x-8+7
We move all terms containing x to the left and all other terms to the right.
+3x+2x-2x+2x=-8+7+9+2
We simplify left and right side of the equation.
+5x=+10
We divide both sides of the equation by 5 to get x.
x=2
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