### Home > CC3MN > Chapter 8 > Lesson 8.2.1 > Problem8-56

8-56.

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?

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?

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

$7 = 3x − 5$

$12 = 3x$
$4 = x$