Step 1: Rearranging the equation
The given equation is:
\[
4x - 2 = 10
\]
To solve for \( x \), first add 2 to both sides:
\[
4x = 12
\]
Step 2: Solve for \( x \)
Now, divide both sides by 4:
\[
x = \frac{12}{4} = 3
\]
Answer: The correct answer is option (2): \( x = 3 \).