Right By Your Side by Eurythmics first appeared on the Israeli foreign-music chart on 19 Dec 1983, entering at #20. It peaked at #9 on 2 Jan 1984. In total it spent 8 weeks on the chart, last charting on 6 Feb 1984.
| Wk | Date | Pos |
|---|---|---|
| 1 | 19 Dec 1983 | 20 |
| 2 | 26 Dec 1983 | 14 |
| 3 | 2 Jan 1984 | 9 |
| 4 | 9 Jan 1984 | 9 |
| 5 | 16 Jan 1984 | 12 |
| 6 | 23 Jan 1984 | 24 |
| 7 | 30 Jan 1984 | 30 |
| 8 | 6 Feb 1984 | 36 |