Algebra 1: Common Core (15th Edition)

$\text{Identity}$
We start with the given equation: $3(2-2x)=-6(x-1)$ We apply the distributive property to expand on both sides of the equal sign: $6-6x=-6x+6$ We apply the commutative property to rearrange the terms on the right side of the equation: $6-6x=6-6x$. Since the same expression lies on each side of the equation, the equation will always be true, and therefore is an $\text{identity}$.