| ( | x | + | 5 | ) | ÷ | ( | x | − | 5 | ) | = | - | ( | 3 | ÷ | 2 | ) |
| 方程两边同时乘以: | ( | x | − | 5 | ) |
| ( | x | + | 5 | ) | = | - | ( | 3 | ÷ | 2 | ) | ( | x | − | 5 | ) |
| x | + | 5 | = | - | ( | 3 | ÷ | 2 | ) | ( | x | − | 5 | ) |
| x | + | 5 | = | - | 3 | ÷ | 2 | × | ( | x | − | 5 | ) |
| x | + | 5 | = | - | 3 2 | ( | x | − | 5 | ) |
| x | + | 5 | = | - | 3 2 | x | + | 3 2 | × | 5 |
| x | + | 5 | = | - | 3 2 | x | + | 15 2 |
| x | + | 3 2 | x | = | 15 2 | − | 5 |
5 2 | x | = | 15 2 | − | 5 |
5 2 | x | = | 5 2 |
| x | = | 5 2 | ÷ | 5 2 |
| = | 5 2 | × | 2 5 |
| = | 1 | × | 1 |
| x | = | 1 |