| 3 | ÷ | x | + | ( | x | − | 3 | ) | ÷ | ( | x | − | 1 | ) | = | 1 |
| 方程两边同时乘以: | x |
| 3 | + | ( | x | − | 3 | ) | ÷ | ( | x | − | 1 | ) | × | x | = | 1 | x |
| 3 | + | x | ÷ | ( | x | − | 1 | ) | × | x | − | 3 | ÷ | ( | x | − | 1 | ) | × | x | = | 1 | x |
| 方程两边同时乘以: | ( | x | − | 1 | ) |
| 3 | ( | x | − | 1 | ) | + | x | x | − | 3 | x | = | 1 | x | ( | x | − | 1 | ) |
| 3 | x | − | 3 | × | 1 | + | x | x | − | 3 | x | = | 1 | x | ( | x | − | 1 | ) |
| 3 | x | − | 3 | × | 1 | + | x | x | − | 3 | x | = | 1 | x | x | − | 1 | x | × | 1 |
| 3 | x | − | 3 | + | x | x | − | 3 | x | = | 1 | x | x | − | 1 | x |
| 0 | x | − | 3 | + | x | x | = | 1 | x | x | − | 1 | x |