The given equation is:

\[
|x| + 7 = 20
\]

To solve this, follow these steps:

1. Subtract 7 from both sides to isolate the absolute value:

\[
|x| = 20 - 7
\]
\[
|x| = 13
\]

2. Now, solve for \(x\) by considering the two cases for the absolute value:

- Case 1: \(x = 13\)
- Case 2: \(x = -13\)

Thus, the solutions are:
\[
x = 13 \quad \text{or} \quad x = -13
\]

Would you like any further details or explanations?

---

Here are five related questions:

1. How do you solve an equation with a different absolute value term?
2. What happens if there's a negative number inside the absolute value?
3. Can you graph \( |x| + 7 = 20 \) on a coordinate plane?
4. How does solving absolute value inequalities differ from equations?
5. What are real-world applications of absolute value equations?

**Tip:** Always remember that absolute value makes a number positive, which is why you consider both the positive and negative cases in solutions.

Learn how to solve the absolute value equation │x│ + 7 = 20 with a step-by-step solution. This problem covers key algebraic concepts, including isolating the absolute value and considering both positive and negative cases. Suitable 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