| 1 | ÷ | ( | 1 | + | 1 | ÷ | ( | 1 | − | 1 | ÷ | x | ) | ) | = | 4 |
| 方程两边同时乘以: | ( | 1 | + | 1 | ÷ | ( | 1 | − | 1 | ÷ | x | ) | ) |
| 1 | = | 4 | ( | 1 | + | 1 | ÷ | ( | 1 | − | 1 | ÷ | x | ) | ) |
| 1 | = | 4 | × | 1 | + | 4 | × | 1 | ÷ | ( | 1 | − | 1 | ÷ | x | ) |
| 1 | = | 4 | + | 4 | ÷ | ( | 1 | − | 1 | ÷ | x | ) |
| 方程两边同时乘以: | ( | 1 | − | 1 | ÷ | x | ) |
| 1 | ( | 1 | − | 1 | ÷ | x | ) | = | 4 | ( | 1 | − | 1 | ÷ | x | ) | + | 4 |
| 1 | × | 1 | − | 1 | × | 1 | ÷ | x | = | 4 | ( | 1 | − | 1 | ÷ | x | ) | + | 4 |
| 1 | × | 1 | − | 1 | × | 1 | ÷ | x | = | 4 | × | 1 | − | 4 | × | 1 | ÷ | x | + | 4 |
| 1 | − | 1 | ÷ | x | = | 4 | − | 4 | ÷ | x | + | 4 |
| 1 | − | 1 | ÷ | x | = | 8 | − | 4 | ÷ | x |
| 方程两边同时乘以: | x |
| 1 | x | − | 1 | = | 8 | x | − | 4 | ÷ | 1 | × | 1 |
| 1 | x | − | 8 | x | = | - | 4 | ÷ | 1 | × | 1 | + | 1 |
| 1 | x | − | 8 | x | = | - | 4 | + | 1 |
| - | 7 | x | = | - | 4 | + | 1 |
| - | 7 | x | = | - | 3 |
| 3 | = | 7 | x |
| 7 | x | = | 3 |
| x | = | 3 | ÷ | 7 |
| = | 3 | × | 1 7 |
| x | = | 3 7 |
| x | = | 0.428571 |