To solve the equation \( 5 + 8a = 5a - 13 \), we follow these steps:

### Step 1: Move all the terms involving \(a\) to one side.
Subtract \(5a\) from both sides:
\[
5 + 8a - 5a = 5a - 13 - 5a
\]
This simplifies to:
\[
5 + 3a = -13
\]

### Step 2: Move the constant terms to the other side.
Subtract 5 from both sides:
\[
5 + 3a - 5 = -13 - 5
\]
This simplifies to:
\[
3a = -18
\]

### Step 3: Solve for \(a\).
Divide both sides by 3:
\[
a = \frac{-18}{3} = -6
\]

### Solution:
The value of \(a\) is \(a = -6\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve equations with variables on both sides?
2. What is the general process to isolate a variable?
3. How can you check if your solution is correct?
4. What happens when the variable cancels out on both sides?
5. How do you handle equations with fractions?

**Tip:** Always perform the same operation on both sides of an equation to maintain balance.

Learn how to solve the linear equation 5 + 8a = 5a - 13 with a detailed, step-by-step solution. This problem focuses on algebraic concepts such as balancing equations and isolating variables, ideal for students in Grades 6-8.

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