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8-56.
  1. Consider the equation 7 = 3x − 5. Homework Help ✎

    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?

    2. Solve 7 = 3x − 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 = 3x − 5

Add 5 to both sides.

12 = 3x

4 = x