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The equation is:
\[
3x - 1 = 2x - 5
\]

### Step-by-step solution:

1. **Move the terms involving \(x\) to one side**:
   \[
   3x - 2x = -5 + 1
   \]
   This simplifies to:
   \[
   x = -4
   \]

So, the value of \(x\) is \(-4\).

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

### Follow-up questions:
1. How would the equation change if it were \(3x - 1 = 2x + 5\)?
2. What if the equation had an additional constant, like \(3x - 1 + 7 = 2x - 5\)?
3. Can you solve a similar equation: \(4x - 3 = x + 9\)?
4. What steps would you follow if the equation had fractions, like \( \frac{3x}{2} - 1 = \frac{x}{3} - 5\)?
5. What happens if both sides of the equation are multiplied by a constant?

### Tip:
When solving equations, always aim to simplify terms on each side first before moving variables to one side and constants to the other.

Learn how to solve the linear equation 3x - 1 = 2x - 5 with a detailed step-by-step solution. This problem involves moving variables to one side and simplifying, suitable for students in Grades 6-8.

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