To solve the equation \( 5x - 2 = 3x + 4 \), follow these steps:

1. **Move all terms with \( x \) to one side:**
   Subtract \( 3x \) from both sides:
   \[
   5x - 2 - 3x = 4
   \]
   Simplifying:
   \[
   2x - 2 = 4
   \]

2. **Move constants to the other side:**
   Add 2 to both sides:
   \[
   2x = 6
   \]

3. **Solve for \( x \):**
   Divide both sides by 2:
   \[
   x = 3
   \]

Thus, the solution is \( x = 3 \).

Would you like more details on the steps or have any questions?

Here are 5 related questions:
1. How would the solution change if the equation was \( 5x - 2 = 3x - 4 \)?
2. Can you solve \( 6x + 5 = 4x - 7 \) using the same method?
3. What happens if the equation includes fractions, like \( \frac{5x}{2} - 1 = 3x + 3 \)?
4. How can you check if \( x = 3 \) is indeed the solution?
5. How would this equation change if it was quadratic, like \( 5x^2 - 2 = 3x + 4 \)?

**Tip:** Always move terms with the variable to one side first for simpler solving.

This page offers a step-by-step solution for the linear equation 5x - 2 = 3x + 4. Learn how to simplify the equation and solve for x, using basic algebraic concepts. Suitable for students in Grades 6-8.

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