Answer
identity
Work Step by Step
Distribute $-3$ on the left side and 6 on the right side then combine like terms on each side to obtain:
$3x-3(2) -3(-x)=6(x) -6(1)
\\3x - 6 -(-3x)=6x-6
\\3x-6+3x=6x-6
\\6x-6=6x-6$
Subtract $6x$ and add $6$ on both sides of the equation to obtain:
$6x-6x=-6+6
\\0=0$
The statement above is true therefore the given equation is an identity.