### Home > MC2 > Chapter 6 > Lesson 6.2.4 > Problem6-108

6-108.

Consider the equation $7 = 3x-5$.

1. Stanley wants to start solving the equation by adding five to both sides, while Terrence wants to first subtract seven 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?

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

$7 = 3x − 5$
$+5 +5$

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

$x=4$