https://file.aiquickdraw.com/mathbot/file/17257378069784hpzaayn.jpg

https://file.aiquickdraw.com/mathbot/file/1725737806978z9l0fch6.jpg

​(Simplify your answer. Type an integer or a​ fraction.)

Let's solve the equation shown in the second image:

The equation given is:
\[ x + 14 = -6 \]

**Step 1: Apply the Addition Principle**
To solve for \( x \), we need to isolate \( x \) on one side of the equation. We can do this by subtracting 14 from both sides:

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

Simplifying both sides:

\[
x = -20
\]

So, the solution is \( x = -20 \).

**Step 2: Check the Solution**
To verify the solution, substitute \( x = -20 \) back into the original equation:

\[
-20 + 14 = -6
\]

The left side equals the right side, confirming that the solution \( x = -20 \) is correct.

Would you like more details, or do you have any other questions?

Here are 5 related questions:
1. What would be the result if the equation was \( x - 14 = -6 \)?
2. How do you solve an equation if the variable appears on both sides?
3. How can you solve the equation \( 3x + 5 = 20 \)?
4. What happens if you add or subtract the same number on both sides of an inequality?
5. How would you approach solving the equation \( 2x + 7 = 15 \)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Solve for x using the addition principle. x + 14 = -6 (Simplify your answer. Type an integer or a fraction.)

Learn how to solve the linear equation x + 14 = -6 using the addition principle. This step-by-step solution teaches key algebraic concepts and equation solving for middle school students. Suitable for Grades 6-8.

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