To solve the equation \(5x - 1 = 6x + 3\), follow these steps:

1. **Subtract \(5x\) from both sides**:
   \[
   5x - 1 - 5x = 6x + 3 - 5x
   \]
   This simplifies to:
   \[
   -1 = x + 3
   \]

2. **Subtract 3 from both sides**:
   \[
   -1 - 3 = x + 3 - 3
   \]
   This simplifies to:
   \[
   -4 = x
   \]

So, the solution is \(x = -4\).

Would you like more details or have any questions?

Here are 5 related questions:

1. What would the solution be if the equation was \(5x - 1 = 6x + 7\)?
2. How would the solution change if the equation was \(5x - 1 = 4x + 3\)?
3. Can you solve the equation \(7x - 2 = 3x + 10\)?
4. What happens if you add a constant to both sides of the equation \(5x - 1 = 6x + 3\)?
5. How can you check if \(x = -4\) is the correct solution for the equation?

**Tip:** After solving an equation, it's good practice to substitute the solution back into the original equation to verify that both sides are equal.

Learn how to solve the equation 5x - 1 = 6x + 3 with a detailed step-by-step solution. This problem involves solving linear equations, suitable for students in Grades 7-9.

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