| ( | 2 | + | x | ) | ÷ | x | = | ( | 2 | + | 2 | x | ) | ÷ | ( | 2 | x | − | 1 | ) |
| 方程两边同时乘以: | x | , | ( | 2 | x | − | 1 | ) |
| ( | 2 | + | x | ) | ( | 2 | x | − | 1 | ) | = | ( | 2 | + | 2 | x | ) | x |
| 2 | ( | 2 | x | − | 1 | ) | + | x | ( | 2 | x | − | 1 | ) | = | ( | 2 | + | 2 | x | ) | x |
| 2 | ( | 2 | x | − | 1 | ) | + | x | ( | 2 | x | − | 1 | ) | = | 2 | x | + | 2 | x | x |
| 2 | × | 2 | x | − | 2 | × | 1 | + | x | ( | 2 | x | − | 1 | ) | = | 2 | x | + | 2 | x | x |
| 4 | x | − | 2 | + | x | ( | 2 | x | − | 1 | ) | = | 2 | x | + | 2 | x | x |
| 4 | x | − | 2 | + | x | × | 2 | x | − | x | × | 1 | = | 2 | x | + | 2 | x | x |
| 3 | x | − | 2 | + | x | × | 2 | x | = | 2 | x | + | 2 | x | x |
| x1=2 |