We want to solve the equation:

\[
\frac{24}{x} + 2 = 6
\]

### Step-by-step solution:

1. **Isolate the term with the variable \( x \):**

   Subtract 2 from both sides of the equation:

   \[
   \frac{24}{x} = 6 - 2
   \]

   Simplifying:

   \[
   \frac{24}{x} = 4
   \]

2. **Solve for \( x \):**

   Now, multiply both sides of the equation by \( x \) to eliminate the denominator:

   \[
   24 = 4x
   \]

3. **Isolate \( x \):**

   Divide both sides by 4:

   \[
   x = \frac{24}{4}
   \]

   Simplifying:

   \[
   x = 6
   \]

Thus, the solution is \( x = 6 \).

Would you like more details or have any other questions?

### Related Questions:
1. How do you solve similar equations with different constants?
2. What happens if the right side of the equation is a fraction instead of a whole number?
3. How can you verify the solution of a rational equation?
4. What if the variable \( x \) appears in the denominator of multiple terms?
5. Can you show how this equation behaves graphically?

### Tip:  
When solving rational equations, always check for any restrictions on the variable, especially if \( x \) could make a denominator zero.

Learn how to solve the rational equation 24/x + 2 = 6 with a detailed step-by-step guide. This solution covers core algebraic concepts such as isolating the variable and solving rational equations. Ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation