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1/3(12x-21)-9=2(x-5)-2(3-x)
We simplify the equation to the form, which is simple to understand
1/3(12x-21)-9=2(x-5)-2(3-x)
Reorder the terms in parentheses
+(+4x-7)-9=2*(x-5)-2*(3-x)
Remove unnecessary parentheses
+4x-7-9=+2+*(+x-5+)-2+*(+3-x+)
Reorder the terms in parentheses
+4x-7-9=+(+2x-10)-2*(3-x)
Remove unnecessary parentheses
+4x-7-9=+2x-10-2+*(+3-x+)
Reorder the terms in parentheses
+4x-7-9=+2x-10+(-6+2x)
Remove unnecessary parentheses
+4x-7-9=+2x-10-6+2x
We move all terms containing x to the left and all other terms to the right.
+4x-2x-2x=-10-6+7+9
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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