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2(x-3)-6(2x+1)=-5(2x-4)
We simplify the equation to the form, which is simple to understand
2(x-3)-6(2x+1)=-5(2x-4)
Reorder the terms in parentheses
+(+2x-6)-6*(2x+1)=-5*(2x-4)
Remove unnecessary parentheses
+2x-6-6+*(+2x+1+)=-5+*(+2x-4+)
Reorder the terms in parentheses
+2x-6+(-12x-6)=-5*(2x-4)
Remove unnecessary parentheses
+2x-6-12x-6=-5+*(+2x-4+)
Reorder the terms in parentheses
+2x-6-12x-6=+(-10x+20)
Remove unnecessary parentheses
+2x-6-12x-6=-10x+20
We move all terms containing x to the left and all other terms to the right.
+2x-12x+10x=+20+6+6
We simplify left and right side of the equation.
0x=+32
0=32
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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