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.

Learn how to solve the linear equation 5x = 4x + 12 with a step-by-step solution. Understand the process of isolating variables and applying the properties of equality. Suitable for students in Grades 7-9.

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