To solve the equation $5x = 4x + 12$, we can follow these steps:

1. Subtract $4x$ from both sides to isolate the variable $x$ on one side: $5x - 4x = 4x + 12 - 4x$ Simplifying this gives: $x = 12$

So, the solution is $x = 12$.

Would you like more details on this solution, or do you have any questions?

Here are some related questions:

1. How would you solve the equation $6x = 3x + 15$?
2. What happens if the equation was $5x = 4x + c$, where $c$ is a constant?
3. How do you solve $7x - 2 = 5x + 10$?
4. What is the general method to solve linear equations?
5. How would you graph the equation $5x = 4x + 12$?
6. Can you explain the properties of equality used in solving linear equations?
7. How do you solve an equation like $5x + 3 = 4x + 15$?
8. What is the difference between solving $5x = 4x + 12$ and $5x + 12 = 4x$?

Tip: When solving equations, always aim to isolate the variable on one side to find its value efficiently.