How does a hot air balloon moves horizontally?

Answer 1

It goes in whatever direction the wind takes it. That being said, the wind has different directions at different altitudes and so by changing ones altitude one can changes ones direction somewhat.

Answer 2

A hot air balloon moves horizontally by catching different wind currents at various altitudes. By ascending or descending to different levels where the wind is blowing in the desired direction, the pilot can control the horizontal movement of the balloon. The pilot achieves this by using a combination of the balloon's burner to adjust altitude and the differing wind speeds at various altitudes.