To solve the equation \(|2x| + 7 = 15\), follow these steps:

1. **Isolate the absolute value term:**

\[
|2x| = 15 - 7
\]

\[
|2x| = 8
\]

2. **Solve for the two cases (since absolute value equations can have two solutions):**

   - **Case 1: \(2x = 8\)**

\[
2x = 8 \implies x = \frac{8}{2} = 4
\]

   - **Case 2: \(2x = -8\)**

\[
2x = -8 \implies x = \frac{-8}{2} = -4
\]

Thus, the solutions are \(x = 4\) and \(x = -4\).

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Do you need further clarification or details on this?

Here are 5 related questions:
1. How do you solve absolute value inequalities?
2. What happens if there is no solution in an absolute value equation?
3. How do you graph absolute value functions?
4. Can you solve \(|3x - 2| + 5 = 9\)?
5. What are the properties of absolute values in equations?

**Tip:** Always isolate the absolute value before considering the two possible cases.

Learn how to solve the absolute value equation |2x| + 7 = 15 with a step-by-step solution. This example explores absolute value properties and covers both cases of the equation. Suitable for students in Grades 7-9.

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