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2(x-1)+4(x-3)=-3(x-2)+9x
We simplify the equation to the form, which is simple to understand
2(x-1)+4(x-3)=-3(x-2)+9x
Reorder the terms in parentheses
+(+2x-2)+4*(x-3)=-3*(x-2)+9x
Remove unnecessary parentheses
+2x-2+4+*(+x-3+)=-3+*(+x-2+)+9x
Reorder the terms in parentheses
+2x-2+(+4x-12)=-3*(x-2)+9x
Remove unnecessary parentheses
+2x-2+4x-12=-3+*(+x-2+)+9x
Reorder the terms in parentheses
+2x-2+4x-12=+(-3x+6)+9x
Remove unnecessary parentheses
+2x-2+4x-12=-3x+6+9x
We move all terms containing x to the left and all other terms to the right.
+2x+4x+3x-9x=+6+2+12
We simplify left and right side of the equation.
0x=+20
0=20
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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