| 1 | ÷ | ( | x | − | 4 | ) | + | 1 | ÷ | x | = | 0 |
| 方程两边同时乘以: | ( | x | − | 4 | ) |
| 1 | + | 1 | ÷ | x | × | ( | x | − | 4 | ) | = | 0 |
| 1 | + | 1 | ÷ | x | × | x | − | 1 | ÷ | x | × | 4 | = | 0 |
| 1 | + | 1 | ÷ | x | × | x | − | 4 | ÷ | x | = | 0 |
| 方程两边同时乘以: | x |
| 1 | x | + | 1 | ÷ | 1 | × | 1 | x | − | 4 | = | 0 |
| 1 | x | + | 1 | ÷ | 1 | × | 1 | x | = | 0 | + | 4 |
| 1 | x | + | 1 | x | = | 0 | + | 4 |
| 2 | x | = | 0 | + | 4 |
| 2 | x | = | 4 |
| x | = | 4 | ÷ | 2 |
| = | 4 | × | 1 2 |
| = | 2 | × | 1 |
| x | = | 2 |