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The problem given is:

\[
x + 14 = -6
\]

To solve for \( x \) using the addition principle, we need to isolate \( x \) by eliminating the constant term on the left side. 

### Step-by-Step Solution

1. **Subtract 14 from both sides** of the equation to isolate \( x \):

\[
x + 14 - 14 = -6 - 14
\]

This simplifies to:

\[
x = -20
\]

### Checking the Solution

To verify, substitute \( x = -20 \) back into the original equation:

\[
-20 + 14 = -6
\]

This is a true statement, confirming that the solution is correct.

### Final Answer

\[
x = -20
\]

Would you like more details on this solution or have any other questions?

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Here are 5 related questions to expand on the topic:

1. How do you solve an equation using the multiplication principle?
2. What is the subtraction principle in algebra, and how is it used to solve equations?
3. Can you solve an equation with variables on both sides?
4. How can you solve equations that involve fractions?
5. What are some common mistakes to avoid when solving linear equations?

**Tip:** Always check your solution by substituting it back into the original equation to ensure accuracy.

Solve for x using the addition principle. x + 14 = -6

Learn how to solve the linear equation x + 14 = -6 using the addition principle. This problem demonstrates how to isolate the variable x by subtracting from both sides. Suitable for students in Grades 6-8.

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