| 6 | ÷ | x | + | 6 | ÷ | ( | 2 | x | − | 5 | ) | = | 1 |
| 方程两边同时乘以: | x |
| 6 | + | 6 | ÷ | ( | 2 | x | − | 5 | ) | × | x | = | 1 | x |
| 方程两边同时乘以: | ( | 2 | x | − | 5 | ) |
| 6 | ( | 2 | x | − | 5 | ) | + | 6 | x | = | 1 | x | ( | 2 | x | − | 5 | ) |
| 6 | × | 2 | x | − | 6 | × | 5 | + | 6 | x | = | 1 | x | ( | 2 | x | − | 5 | ) |
| 6 | × | 2 | x | − | 6 | × | 5 | + | 6 | x | = | 1 | x | × | 2 | x | − | 1 | x | × | 5 |
| 12 | x | − | 30 | + | 6 | x | = | 2 | x | x | − | 5 | x |
| 18 | x | − | 30 | = | 2 | x | x | − | 5 | x |
| x1= | 3 2 |
| x2=10 |