| ( | 8 | ÷ | x | ) | + | 3 | ÷ | ( | x | + | 5 | ) | = | 1 |
| 方程两边同时乘以: | ( | x | + | 5 | ) |
| ( | 8 | ÷ | x | ) | ( | x | + | 5 | ) | + | 3 | = | 1 | ( | x | + | 5 | ) |
| 8 | ÷ | x | × | ( | x | + | 5 | ) | + | 3 | = | 1 | ( | x | + | 5 | ) |
| 8 | ÷ | x | × | ( | x | + | 5 | ) | + | 3 | = | 1 | x | + | 1 | × | 5 |
| 8 | ÷ | x | × | ( | x | + | 5 | ) | + | 3 | = | 1 | x | + | 5 |
| 方程两边同时乘以: | x |
| 8 | ( | x | + | 5 | ) | + | 3 | x | = | 1 | x | x | + | 5 | x |
| 8 | x | + | 8 | × | 5 | + | 3 | x | = | 1 | x | x | + | 5 | x |
| 8 | x | + | 40 | + | 3 | x | = | 1 | x | x | + | 5 | x |
| 11 | x | + | 40 | = | 1 | x | x | + | 5 | x |