Solve the following equation for x

To solve the equation \( 4x - 6 = 8 \) for \( x \), follow these steps:

1. Add 6 to both sides:
\[
4x - 6 + 6 = 8 + 6
\]
This simplifies to:
\[
4x = 14
\]

2. Now, divide both sides by 4:
\[
x = \frac{14}{4}
\]
This simplifies to:
\[
x = \frac{7}{2}
\]

Thus, the solution is:
\[
\boxed{\frac{7}{2}}
\]