| 2 | ÷ | x | = | ( | 2 | ÷ | ( | 2 | − | x | ) | ) | + | 5 |
| Multiply both sides of the equation by: | x |
| 2 | = | ( | 2 | ÷ | ( | 2 | − | x | ) | ) | x | + | 5 | x |
| 2 | = | 2 | ÷ | ( | 2 | − | x | ) | × | x | + | 5 | x |
| Multiply both sides of the equation by: | ( | 2 | − | x | ) |
| 2 | ( | 2 | − | x | ) | = | 2 | x | + | 5 | x | ( | 2 | − | x | ) |
| 2 | × | 2 | − | 2 | x | = | 2 | x | + | 5 | x | ( | 2 | − | x | ) |
| 2 | × | 2 | − | 2 | x | = | 2 | x | + | 5 | x | × | 2 | − | 5 | x | x |
| 4 | − | 2 | x | = | 2 | x | + | 10 | x | − | 5 | x | x |
| 4 | − | 2 | x | = | 12 | x | − | 5 | x | x |