Question: The average of $ 5x - 4 $, $ 3x + 7 $, and $ 2x + 1 $ is 10. What is the value of $ x $?

Sat, 02 May 2026 19:07:12 +0000

**Why Are More People Solving This Math Puzzle Right Now?**
The question “The average of $ 5x - 4 $, $ 3x + 7 $, and $ 2x + 1 $ is 10” is sparking quiet but growing interest across U.S. digital communities. While it begins as a straightforward algebra problem, its rising presence on mobile devices reflects a broader curiosity around practical math in everyday life. Parents, educators, and self-learners are leveraging online tools to clarify concepts fast—especially as STEM literacy remains a key focus in U.S. schools and workplaces. This query isn’t just academic; it’s part of a nationwide trend where accessible, clear problem-solving builds confidence in numerical reasoning. **How to Solve the Average Puzzle Step by Step**
To uncover $ x $, start by recalling that the average of three expressions equals their sum divided by three. Set up the equation:
$$
\frac{(5x - 4) + (3x + 7) + (2x + 1)}{3} = 10
$$
Combine like terms in the numerator:
$$
\frac{(5x + 3x + 2x) + (-4 + 7 + 1)}{3} = 10
$$
$$
\frac{10x + 4}{3} = 10
$$
Next, eliminate the denominator by multiplying both sides by 3:
$$
10x + 4 = 30
$$
Isolate $ x $ by subtracting 4:
$$
10x = 26
$$
Then divide by 10:
$$
x = 2.6
$$
This clean resolution mirrors a common learning moment—breaking complex ideas into manageable steps, a skill increasingly valued in dynamic digital learning environments. **Why the Average Equation Is Resonating With Users**
What’s driving curiosity around this question isn’t just math—it’s problem-solving confidence in a fast-paced world. With rising interest in data literacy, personal finance, and even coding—skills where averages play a role—this puzzle feels familiar and empowering. Mobile users, especially, appreciate short, visual explanations that maintain focus. The clear, structured approach supports deeper learning habits, aligning with how people now consume educational content across apps and browsers. **Common Questions Readers Want Answered**
**Q: Why does averaging these expressions require dividing by 3?**
Because the average distributes total value evenly across all terms—this