So you asked if that becomes:  x² + x = 4?
No because the first step is to divide through by the
coefficient of x², which is 3. And we divide all the terms,
on both sides by 3 

x² + x = 

           x² + x = 4 

 So  has the wrong enominator.

But it seems a shame to stop here and not go on and
complete the square.  Let's do it just for fun:
(You can print it for future use, because you're
going to have to learn how to do that soon.
 

multiply  times , get 
Square . get 

Add that to BOTH sides of the equation, to keep
it balanced.
  
So now we have:

x² + x+ = 4+

That factors as:

(x + )² = 

Now we use the principle of square roots:

 x +  = 
 
 x +  = 

             x = 

             x = 

Edwin