| 1 | ÷ | ( | 2 | x | − | 1 | ) | − | 1 | ÷ | 2 | = | 1 |
| 方程两边同时乘以: | ( | 2 | x | − | 1 | ) |
| 1 | − | 1 | ÷ | 2 | × | ( | 2 | x | − | 1 | ) | = | 1 | ( | 2 | x | − | 1 | ) |
| 1 | − | 1 | ÷ | 2 | × | 2 | x | + | 1 | ÷ | 2 | × | 1 | = | 1 | ( | 2 | x | − | 1 | ) |
| 1 | − | 1 | ÷ | 2 | × | 2 | x | + | 1 | ÷ | 2 | × | 1 | = | 1 | × | 2 | x | − | 1 | × | 1 |
| 1 | − | 1 | x | + | 1 2 | = | 2 | x | − | 1 |
3 2 | − | 1 | x | = | 2 | x | − | 1 |
| - | 1 | x | − | 2 | x | = | - | 1 | − | 3 2 |
| - | 3 | x | = | - | 1 | − | 3 2 |
| - | 3 | x | = | - | 5 2 |
5 2 | = | 3 | x |
| 3 | x | = | 5 2 |
| x | = | 5 2 | ÷ | 3 |
| = | 5 2 | × | 1 3 |
| x | = | 5 6 |
| x | = | 0.833333 |