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2(2x-6)=.5(8x-9)
We simplify the equation to the form, which is simple to understand
2(2x-6)=.5(8x-9)
Reorder the terms in parentheses
+(+4x-12)=.5*(8x-9)
Remove unnecessary parentheses
+4x-12=+.5+*(+8x-9+)
Reorder the terms in parentheses
+4x-12=+(+4x-4.5)
Remove unnecessary parentheses
+4x-12=+4x-4.5
We move all terms containing x to the left and all other terms to the right.
+4x-4x=-4.5+12
We simplify left and right side of the equation.
0x=+7.5
0=7.5
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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