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4(x-2)-2(x-4)=5(x-1)-3x
We simplify the equation to the form, which is simple to understand
4(x-2)-2(x-4)=5(x-1)-3x
Reorder the terms in parentheses
+(+4x-8)-2*(x-4)=5*(x-1)-3x
Remove unnecessary parentheses
+4x-8-2+*(+x-4+)=+5+*(+x-1+)-3x
Reorder the terms in parentheses
+4x-8+(-2x+8)=5*(x-1)-3x
Remove unnecessary parentheses
+4x-8-2x+8=+5+*(+x-1+)-3x
Reorder the terms in parentheses
+4x-8-2x+8=+(+5x-5)-3x
Remove unnecessary parentheses
+4x-8-2x+8=+5x-5-3x
We move all terms containing x to the left and all other terms to the right.
+4x-2x-5x+3x=-5+8-8
We simplify left and right side of the equation.
0x=-5
0=-5
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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