Let's solve the equation step by step:

Given: $5x - 2 = 3x + 4$

Step 1: Move the variable terms to one side.

Subtract $3x$ from both sides: $5x - 3x - 2 = 4$ $2x - 2 = 4$

Step 2: Move the constant terms to the other side.

Add 2 to both sides: $2x - 2 + 2 = 4 + 2$ $2x = 6$

Step 3: Solve for $x$.

Divide both sides by 2: $x = \frac{6}{2}$ $x = 3$

The solution is $x = 3$.

Would you like more details on any part of the solution?

Here are 5 related questions:

1. How would you solve $7x - 5 = 2x + 10$?
2. What happens if the coefficients of $x$ on both sides are the same?
3. Can you apply this process to inequalities like $4x - 1 \leq 2x + 7$?
4. How would you handle equations with fractions, like $\frac{3}{2}x - 1 = x + 4$?
5. How can you check if the solution to an equation is correct?

Tip: Always simplify the equation by moving terms with $x$ to one side and constants to the other before solving.