Question

1. Solve th equation using division property of equality to solve: 5x -8 = 3x + 4
2. Solve the equation and show all of your work.
3. State the final answer to your equation.

Answer 1

To solve the equation \( 5x - 8 = 3x + 4 \) using the division property of equality, we will first isolate the variable \( x \).

### Steps to Solve:

1. **Start with the original equation:**
\[
5x - 8 = 3x + 4
\]

2. **Move all terms involving \( x \) to one side of the equation and constant terms to the other side. First, subtract \( 3x \) from both sides:**
\[
5x - 3x - 8 = 4
\]
This simplifies to:
\[
2x - 8 = 4
\]

3. **Next, add 8 to both sides to isolate the term with \( x \):**
\[
2x - 8 + 8 = 4 + 8
\]
This simplifies to:
\[
2x = 12
\]

4. **Now, divide both sides by 2 to solve for \( x \) (applying the division property of equality):**
\[
x = \frac{12}{2}
\]
This simplifies to:
\[
x = 6
\]

### Final Answer:

The solution to the equation \( 5x - 8 = 3x + 4 \) is
\[
\boxed{6}
\]