### Home > CC3 > Chapter 8 > Lesson 8.2.1 > Problem 8-56

8-56.

Consider the equation 7 = 3

*x*− 5. Homework Help ✎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?

Solve 7 = 3

*x*− 5. Show your steps.

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?

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

7 = 3*x* − 5

Add 5 to both sides.

12 = 3*x*

4 = *x*