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12(x-2)=2(6x-3)-18
We simplify the equation to the form, which is simple to understand
12(x-2)=2(6x-3)-18
Reorder the terms in parentheses
+(+12x-24)=2*(6x-3)-18
Remove unnecessary parentheses
+12x-24=+2+*(+6x-3+)-18
Reorder the terms in parentheses
+12x-24=+(+12x-6)-18
Remove unnecessary parentheses
+12x-24=+12x-6-18
We move all terms containing x to the left and all other terms to the right.
+12x-12x=-6-18+24
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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