Let's temporarily replace the inequality sign ">" with "=".
This gives us: 5x - 2 = 3x + 11.
If we subtract 3x from both sides we are left with:
2x - 2 = 11.
If we add 2 to both sides, we are left with:
2x = 13.
If we divide both sides by 2, we are left with
x = 6.5.
Now let's substitute back in the inequality sign
x > 6.5