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-6(x-3)=2(9-3x)
We simplify the equation to the form, which is simple to understand
-6(x-3)=2(9-3x)
Reorder the terms in parentheses
+(-6x+18)=2*(9-3x)
Remove unnecessary parentheses
-6x+18=+2+*(+9-3x+)
Reorder the terms in parentheses
-6x+18=+(+18-6x)
Remove unnecessary parentheses
-6x+18=+18-6x
We move all terms containing x to the left and all other terms to the right.
-6x+6x=+18-18
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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