| 550 | ÷ | ( | x | + | 110 | ) | − | 500 | ÷ | ( | x | + | 100 | ) | = | 23 10 |
| 方程两边同时乘以: | ( | x | + | 110 | ) |
| 550 | − | 500 | ÷ | ( | x | + | 100 | ) | × | ( | x | + | 110 | ) | = | 23 10 | ( | x | + | 110 | ) |
| 550 | − | 500 | ÷ | ( | x | + | 100 | ) | × | x | − | 500 | ÷ | ( | x | + | 100 | ) | × | 110 | = | 23 10 | ( | x | + | 110 | ) |
| 550 | − | 500 | ÷ | ( | x | + | 100 | ) | × | x | − | 500 | ÷ | ( | x | + | 100 | ) | × | 110 | = | 23 10 | x | + | 23 10 | × | 110 |
| 550 | − | 500 | ÷ | ( | x | + | 100 | ) | × | x | − | 55000 | ÷ | ( | x | + | 100 | ) | = | 23 10 | x | + | 253 |
| 方程两边同时乘以: | ( | x | + | 100 | ) |
| 550 | ( | x | + | 100 | ) | − | 500 | x | − | 55000 | = | 23 10 | x | ( | x | + | 100 | ) | + | 253 | ( | x | + | 100 | ) |
| 550 | x | + | 550 | × | 100 | − | 500 | x | − | 55000 | = | 23 10 | x | ( | x | + | 100 | ) | + | 253 | ( | x | + | 100 | ) |
| 550 | x | + | 550 | × | 100 | − | 500 | x | − | 55000 | = | 23 10 | x | x | + | 23 10 | x | × | 100 | + | 253 | ( | x | + | 100 | ) |
| 550 | x | + | 55000 | − | 500 | x | − | 55000 | = | 23 10 | x | x | + | 230 | x | + | 253 | ( | x | + | 100 | ) |
| 50 | x | + | 0 | = | 23 10 | x | x | + | 230 | x | + | 253 | ( | x | + | 100 | ) |
| 50 | x | = | 23 10 | x | x | + | 230 | x | + | 253 | x | + | 253 | × | 100 |
| 50 | x | = | 23 10 | x | x | + | 230 | x | + | 253 | x | + | 25300 |
| 50 | x | = | 23 10 | x | x | + | 483 | x | + | 25300 |