### Home > CC2MN > Chapter 7 > Lesson 7.2.4 > Problem7-98

7-98.

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

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.

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

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

$x=4$