To solve the equation \(4x - 1 = 3(x - 1)\), follow these steps:

1. Distribute the 3 on the right side of the equation:
   \[
   4x - 1 = 3x - 3
   \]

2. Move all terms involving \(x\) to one side of the equation and the constant terms to the other side. Subtract \(3x\) from both sides:
   \[
   4x - 3x - 1 = -3
   \]

3. Simplify the equation:
   \[
   x - 1 = -3
   \]

4. Add 1 to both sides to isolate \(x\):
   \[
   x = -2
   \]

So, the solution to the equation \(4x - 1 = 3(x - 1)\) is \(x = -2\).

Would you like more details or have any questions about the solution?

Here are some related questions to expand on this topic:

1. How do you solve linear equations with variables on both sides?
2. What are the common mistakes to avoid when solving linear equations?
3. Can you explain the distributive property in algebra?
4. How do you verify the solution to a linear equation?
5. What are the steps to isolate the variable in a linear equation?
6. How do you handle equations with fractions?
7. What is the importance of balancing equations in algebra?
8. How can you solve equations with multiple variables?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation 4x - 1 = 3(x - 1) with detailed step-by-step instructions. This problem involves algebraic manipulation and solving linear equations. Suitable for students in Grades 7-9.

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