Show the “check” for each of these problems and write whether the solution is correct or incorrect.  

1. For $3x+2=x-2$, does $x=0$?

   Step 1 (a):

   Substitute $0$ for $x$.

   Step 2 (a):

   $3(0)+2=0-2$ Now simplify.

   Step 3 (a):

   $\array{ 0+2=0-2\\ \quad 2=-2}$
   Is this statement true?

2. For $3(x-2)=30+x-2-x+2$, does $x=12$?

   Hint (b):

   Follow the steps in part (a).