| x | ÷ | ( | x | − | 2 | ) | + | 1 | ÷ | ( | 2 | − | x | ) | = | 3 |
| 方程两边同时乘以: | ( | x | − | 2 | ) |
| x | + | 1 | ÷ | ( | 2 | − | x | ) | × | ( | x | − | 2 | ) | = | 3 | ( | x | − | 2 | ) |
| x | + | 1 | ÷ | ( | 2 | − | x | ) | × | x | − | 1 | ÷ | ( | 2 | − | x | ) | × | 2 | = | 3 | ( | x | − | 2 | ) |
| x | + | 1 | ÷ | ( | 2 | − | x | ) | × | x | − | 1 | ÷ | ( | 2 | − | x | ) | × | 2 | = | 3 | x | − | 3 | × | 2 |
| x | + | 1 | ÷ | ( | 2 | − | x | ) | × | x | − | 2 | ÷ | ( | 2 | − | x | ) | = | 3 | x | − | 6 |
| 方程两边同时乘以: | ( | 2 | − | x | ) |
| x | ( | 2 | − | x | ) | + | 1 | x | − | 2 | = | 3 | x | ( | 2 | − | x | ) | − | 6 | ( | 2 | − | x | ) |
| x | × | 2 | − | x | x | + | 1 | x | − | 2 | = | 3 | x | ( | 2 | − | x | ) | − | 6 | ( | 2 | − | x | ) |
| x | × | 2 | − | x | x | + | 1 | x | − | 2 | = | 3 | x | × | 2 | − | 3 | x | x | − | 6 | ( | 2 | − | x | ) |
| x | × | 2 | − | x | x | + | 1 | x | − | 2 | = | 6 | x | − | 3 | x | x | − | 6 | ( | 2 | − | x | ) |
| 3 | x | − | x | x | − | 2 | = | 6 | x | − | 3 | x | x | − | 6 | ( | 2 | − | x | ) |
| 3 | x | − | x | x | − | 2 | = | 6 | x | − | 3 | x | x | − | 6 | × | 2 | + | 6 | x |
| 3 | x | − | x | x | − | 2 | = | 6 | x | − | 3 | x | x | − | 12 | + | 6 | x |
| 3 | x | − | x | x | − | 2 | = | 12 | x | − | 3 | x | x | − | 12 |
| x1= | 5 2 |