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2(3x-7)=4(x-1)+2x
We simplify the equation to the form, which is simple to understand
2(3x-7)=4(x-1)+2x
Reorder the terms in parentheses
+(+6x-14)=4*(x-1)+2x
Remove unnecessary parentheses
+6x-14=+4+*(+x-1+)+2x
Reorder the terms in parentheses
+6x-14=+(+4x-4)+2x
Remove unnecessary parentheses
+6x-14=+4x-4+2x
We move all terms containing x to the left and all other terms to the right.
+6x-4x-2x=-4+14
We simplify left and right side of the equation.
0x=+10
0=10
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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