| 121 | x | ÷ | ( | 121 | + | x | ) | = | 605 | ÷ | 6 |
| Multiply both sides of the equation by: | ( | 121 | + | x | ) |
| 121 | x | = | 605 | ÷ | 6 | × | ( | 121 | + | x | ) |
| 121 | x | = | 605 | ÷ | 6 | × | 121 | + | 605 | ÷ | 6 | × | x |
| 121 | x | = | 73205 6 | + | 605 6 | x |
| 121 | x | − | 605 6 | x | = | 73205 6 |
121 6 | x | = | 73205 6 |
| x | = | 73205 6 | ÷ | 121 6 |
| = | 73205 6 | × | 6 121 |
| = | 605 | × | 1 |
| x | = | 605 |