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