To solve the equation \(3x - 1 = 2\), we first need to isolate the term containing the variable \(x\). We do this by adding 1 to both sides of the equation:
\[
3x - 1 + 1 = 2 + 1
\]
This simplifies to:
\[
3x = 3
\]
Step 2: Solve for \(x\)
Next, we solve for \(x\) by dividing both sides of the equation by 3:
\[
\frac{3x}{3} = \frac{3}{3}
\]
This simplifies to:
\[
x = 1
\]
Final Answer
The solution to the equation is \(\boxed{x = 1}\).