Let's solve the equation:

\[
2x - 8 = 4x + 9
\]

### Steps:
1. Move all terms with \( x \) to one side of the equation and constants to the other side. Start by subtracting \( 2x \) from both sides:
\[
-8 = 2x + 9
\]

2. Next, subtract 9 from both sides to move the constant:
\[
-8 - 9 = 2x
\]
\[
-17 = 2x
\]

3. Now, divide both sides by 2 to solve for \( x \):
\[
x = \frac{-17}{2}
\]
\[
x = -8.5
\]

Thus, the solution is \( x = -8.5 \).

Would you like further details or another explanation for this solution?

### Follow-up Questions:
1. How can you check if \( x = -8.5 \) is the correct solution?
2. What happens if the variable appears on both sides of the equation?
3. Could this equation have been solved differently (e.g., by factoring)?
4. How would you solve the equation if it had decimals instead of integers?
5. How do you solve equations with absolute values?
6. What if the equation had more than one variable—how would you approach it?
7. Can you graph the equation to visually verify the solution?
8. How would you solve if the equation was an inequality instead of an equation?

#### Tip: When solving equations with variables on both sides, it’s easiest to start by simplifying and moving all variables to one side.

Learn how to solve the equation 2x - 8 = 4x + 9 step-by-step. This problem involves solving a linear equation, moving terms to isolate the variable, and calculating the solution. Suitable for students in Grades 7-9.

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