Consider the equation $7=3x-5$.  

1. Stanley wants to start solving the equation by adding $5$ to both sides, while Terrence first wants to subtract $7$ from both sides. Will both strategies work? Is one strategy more efficient than the other?

   Hint (a):

   Solving the equation ultimately involves isolating $x$ to determine its value.
   If both strategies are working towards isolating $x$ through different methods, will both strategies work?

   More Help (a):

   Does one strategy require less work to isolate $x$?
   Is the strategy of adding $5$ to both sides rather than subtracting $7$ a more efficient and direct method?

   Answer (a):

   Both strategies work, but Stanley's strategy is more efficient because he isolates $x$ in a more direct manner.

2. Solve $7=3x-5$. Show your steps.

   Step 1 (b):

   $\array{\; 7=3x-5\\ +5\qquad +5}$

   Step 2 (b):

   $\frac{12}{3}=\frac{3x}{3}$

   Answer (b):

   $x=4$