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