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3(4x-3)+1=(3x-1)-2(x-2)
We simplify the equation to the form, which is simple to understand
3(4x-3)+1=(3x-1)-2(x-2)
Reorder the terms in parentheses
+(+12x-9)+1=(3x-1)-2*(x-2)
Remove unnecessary parentheses
+12x-9+1=+(+3x-1+)-2+*(+x-2+)
Remove unnecessary parentheses
+12x-9+1=3x-1-2*(x-2)
Reorder the terms in parentheses
+12x-9+1=3x-1+(-2x+4)
Remove unnecessary parentheses
+12x-9+1=+3x-1-2x+4
We move all terms containing x to the left and all other terms to the right.
+12x-3x+2x=-1+4+9-1
We simplify left and right side of the equation.
+11x=+11
We divide both sides of the equation by 11 to get x.
x=1
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