To solve for \( x \) in the equation \((x + 0.059 + 0.04) / 3 = 0.058\), follow these steps:

1. **Multiply both sides by 3** to eliminate the fraction:

   \[
   x + 0.059 + 0.04 = 0.058 \times 3
   \]

2. **Calculate \(0.058 \times 3\)**:

   \[
   0.058 \times 3 = 0.174
   \]

   So, the equation becomes:

   \[
   x + 0.059 + 0.04 = 0.174
   \]

3. **Combine the constants on the left side**:

   \[
   0.059 + 0.04 = 0.099
   \]

   Substitute back:

   \[
   x + 0.099 = 0.174
   \]

4. **Solve for \( x \)** by subtracting 0.099 from both sides:

   \[
   x = 0.174 - 0.099
   \]

5. **Calculate the result**:

   \[
   x = 0.075
   \]

Thus, the solution is \( x = 0.075 \).

Would you like any further explanation or have any questions about this process?

Here are some related questions for further exploration:

1. How do you solve linear equations with multiple variables?
2. What are some strategies for checking your solution to an equation?
3. How do you solve equations that include fractions?
4. How do you handle equations with decimals?
5. What is the difference between solving an equation and simplifying an expression?
6. How can you apply this method to solve equations in algebraic word problems?
7. What are common mistakes to avoid when solving linear equations?
8. How do you solve equations involving percentages?

**Tip:** Always double-check your calculations, especially when working with decimals, to ensure accuracy.

Learn how to solve the equation (x + 0.059 + 0.04) / 3 = 0.058 step-by-step with detailed explanations. This problem involves manipulating fractions and decimals in linear equations. Suitable for students in Grades 7-9.

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