| ( | 3 | x | + | 1 | ) | ÷ | ( | x | + | 5 | ) | = | ( | 6 | x | − | 1 | ) | ÷ | ( | 2 | x | + | 1 | ) |
| 方程两边同时乘以: | ( | x | + | 5 | ) | , | ( | 2 | x | + | 1 | ) |
| ( | 3 | x | + | 1 | ) | ( | 2 | x | + | 1 | ) | = | ( | 6 | x | − | 1 | ) | ( | x | + | 5 | ) |
| 3 | x | ( | 2 | x | + | 1 | ) | + | 1 | ( | 2 | x | + | 1 | ) | = | ( | 6 | x | − | 1 | ) | ( | x | + | 5 | ) |
| 3 | x | ( | 2 | x | + | 1 | ) | + | 1 | ( | 2 | x | + | 1 | ) | = | 6 | x | ( | x | + | 5 | ) | − | 1 | ( | x | + | 5 | ) |
| 3 | x | × | 2 | x | + | 3 | x | × | 1 | + | 1 | ( | 2 | x | + | 1 | ) | = | 6 | x | ( | x | + | 5 | ) | − | 1 | ( | x | + | 5 | ) |
| 3 | x | × | 2 | x | + | 3 | x | × | 1 | + | 1 | ( | 2 | x | + | 1 | ) | = | 6 | x | x | + | 6 | x | × | 5 | − | 1 | ( | x | + | 5 | ) |
| 6 | x | x | + | 3 | x | + | 1 | ( | 2 | x | + | 1 | ) | = | 6 | x | x | + | 30 | x | − | 1 | ( | x | + | 5 | ) |
| 6 | x | x | + | 3 | x | + | 1 | × | 2 | x | + | 1 | × | 1 | = | 6 | x | x | + | 30 | x | − | 1 | ( | x | + | 5 | ) |
| 6 | x | x | + | 3 | x | + | 1 | × | 2 | x | + | 1 | × | 1 | = | 6 | x | x | + | 30 | x | − | 1 | x | − | 1 | × | 5 |
| 6 | x | x | + | 3 | x | + | 2 | x | + | 1 | = | 6 | x | x | + | 30 | x | − | 1 | x | − | 5 |
| 6 | x | x | + | 5 | x | + | 1 | = | 6 | x | x | + | 29 | x | − | 5 |
| x1= | 1 4 |