To solve the equation \( 24x - 2 = 6 \), follow these steps:

1. **Add 2 to both sides** to isolate the term with \( x \):
   \[
   24x - 2 + 2 = 6 + 2
   \]
   \[
   24x = 8
   \]

2. **Divide both sides by 24** to solve for \( x \):
   \[
   x = \frac{8}{24}
   \]
   \[
   x = \frac{1}{3}
   \]

Thus, the solution is \( x = \frac{1}{3} \).

Would you like further details or have any questions?

Here are 5 related questions you might explore:
1. What happens if the equation were \( 24x - 2 = 12 \)?
2. How do you solve \( 48x - 4 = 12 \)?
3. Can you solve \( 24x + 2 = 6 \) and compare the result?
4. How would you solve \( 12x - 5 = 11 \)?
5. What if the equation were \( 24x - 2 = -6 \)?

**Tip:** Always isolate the variable step-by-step by performing inverse operations.

Learn how to solve the linear equation 24x - 2 = 6 with a clear, step-by-step explanation. This problem focuses on basic algebraic concepts, including isolating variables and performing inverse operations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation