| ( | x | − | 500 | − | 6000 | × | 6 100 | ) | ( | 1 | − | 25 100 | ) | ÷ | 3000 | = | ( | x | − | 500 | ) | ( | 1 | − | 25 100 | ) | ÷ | ( | 3000 | + | 1000 | ) |
| 方程两边同时乘以: | ( | 3000 | + | 1000 | ) |
| ( | x | − | 500 | − | 6000 | × | 6 100 | ) | ( | 1 | − | 25 100 | ) | ÷ | 3000 | × | ( | 3000 | + | 1000 | ) | = | ( | x | − | 500 | ) | ( | 1 | − | 25 100 | ) |
| x | ( | 1 | − | 25 100 | ) | ÷ | 3000 | × | ( | 3000 | + | 1000 | ) | − | 500 | ( | 1 | − | 25 100 | ) | ÷ | 3000 | × | ( | 3000 | + | 1000 | ) | − | 6000 | × | 6 100 | ( | 1 | − | 25 100 | ) | ÷ | 3000 | = | ( | x | − | 500 | ) | ( | 1 | − | 25 100 | ) |
| x | ( | 1 | − | 25 100 | ) | ÷ | 3000 | × | ( | 3000 | + | 1000 | ) | − | 500 | ( | 1 | − | 25 100 | ) | ÷ | 3000 | × | ( | 3000 | + | 1000 | ) | − | 6000 | × | 6 100 | ( | 1 | − | 25 100 | ) | ÷ | 3000 | = | x | ( | 1 | − | 25 100 | ) | − | 500 | ( | 1 | − | 25 100 | ) |
| x | ( | 1 | − | 25 100 | ) | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | x | ( | 1 | − | 25 100 | ) | − | 500 | ( | 1 | − | 25 100 | ) |
| x | × | 1 | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | x | × | 25 100 | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | = | x | ( | 1 | − | 25 100 | ) | − | 500 | ( | 1 | − | 25 100 | ) |
| x | × | 1 | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | x | × | 25 100 | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | = | x | × | 1 | − | x | × | 25 100 | − | 500 | ( | 1 | − | 25 100 | ) |
| x | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | x | × | 1 12000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | x | × | 1 | − | x | × | 25 100 | − | 500 | ( | 1 | − | 25 100 | ) |
| x | × | 1 3000 | ( | 3000 | + | 1000 | ) | − | x | × | 1 12000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 500 | ( | 1 | − | 25 100 | ) |
| x | × | 1 3000 | × | 3000 | + | x | × | 1 3000 | × | 1000 | − | x | × | 1 12000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 500 | ( | 1 | − | 25 100 | ) |
| x | × | 1 3000 | × | 3000 | + | x | × | 1 3000 | × | 1000 | − | x | × | 1 12000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 500 | × | 1 | + | 500 | × | 25 100 |
| x | × | 1 | + | x | × | 1 3 | − | x | × | 1 12000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | = | 3 4 | x | − | 500 | + | 125 |
4 3 | x | − | x | × | 1 12000 | ( | 3000 | + | 1000 | ) | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
4 3 | x | − | x | × | 1 12000 | × | 3000 | − | x | × | 1 12000 | × | 1000 | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | = | 3 4 | x | − | 375 |
4 3 | x | − | x | × | 1 4 | − | x | × | 1 12 | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 1 6 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 1 6 | × | 1 | ( | 3000 | + | 1000 | ) | + | 1 6 | × | 25 100 | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 1 6 | ( | 3000 | + | 1000 | ) | + | 1 24 | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 1 6 | × | 3000 | − | 1 6 | × | 1000 | + | 1 24 | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 500 | − | 500 3 | + | 1 24 | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 2000 3 | + | 1 24 | ( | 3000 | + | 1000 | ) | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 2000 3 | + | 1 24 | × | 3000 | + | 1 24 | × | 1000 | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 2000 3 | + | 125 | + | 125 3 | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 500 | − | 3 25 | ( | 1 | − | 25 100 | ) | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 500 | − | 3 25 | × | 1 | ( | 3000 | + | 1000 | ) | + | 3 25 | × | 25 100 | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |
| 1 | x | − | 500 | − | 3 25 | ( | 3000 | + | 1000 | ) | + | 3 100 | ( | 3000 | + | 1000 | ) | = | 3 4 | x | − | 375 |