To solve the inequality \( 8x > 7x - 4 \), we can start by isolating \( x \) on one side. Here are the steps:
- Subtract \( 7x \) from both sides:
\[ 8x - 7x > -4 \]
- This simplifies to:
\[ x > -4 \]
So the solution to the inequality is:
\[ x > -4 \]
This means that \( x \) can be any value greater than -4.