| 23 | ÷ | x | = | ( | x | + | 1 | ) | + | ( | x | ÷ | ( | x | − | 1 | ) | ) |
| 方程两边同时乘以: | x |
| 23 | = | ( | x | + | 1 | ) | x | + | ( | x | ÷ | ( | x | − | 1 | ) | ) | x |
| 23 | = | x | x | + | 1 | x | + | ( | x | ÷ | ( | x | − | 1 | ) | ) | x |
| 23 | = | x | x | + | 1 | x | + | x | ÷ | ( | x | − | 1 | ) | × | x |
| 方程两边同时乘以: | ( | x | − | 1 | ) |
| 23 | ( | x | − | 1 | ) | = | x | x | ( | x | − | 1 | ) | + | 1 | x | ( | x | − | 1 | ) | + | x | x |
| 23 | x | − | 23 | × | 1 | = | x | x | ( | x | − | 1 | ) | + | 1 | x | ( | x | − | 1 | ) | + | x | x |
| 23 | x | − | 23 | × | 1 | = | x | x | x | − | x | x | × | 1 | + | 1 | x | ( | x | − | 1 | ) | + | x | x |
| 23 | x | − | 23 | = | x | x | x | − | x | x | × | 1 | + | 1 | x | ( | x | − | 1 | ) | + | x | x |
| 23 | x | − | 23 | = | x | x | x | − | x | x | × | 1 | + | 1 | x | x | − | 1 | x | × | 1 |
| 23 | x | − | 23 | = | x | x | x | − | x | x | × | 1 | + | 1 | x | x | − | 1 | x | + | x |