| 1000 | × | 1 2 | = | x | × | 24 25 | + | ( | 1000 | − | x | ) | × | 4 25 |
| 方程左边 = | 500 |
| 500 | = | x | × | 24 25 | + | ( | 1000 | − | x | ) | × | 4 25 |
| 方程右边 = | 24 25 | x | + | 1000 | × | 4 25 | − | x | × | 4 25 |
| = | 24 25 | x | + | 160 | − | x | × | 4 25 |
| = | 4 5 | x | + | 160 |
| 500 | = | 4 5 | x | + | 160 |
| - | 4 5 | x | = | 160 | − | 500 |
| - | 4 5 | x | = | - | 340 |
| 340 | = | 4 5 | x |
4 5 | x | = | 340 |
| x | = | 340 | ÷ | 4 5 |
| = | 340 | × | 5 4 |
| = | 85 | × | 5 |
| x | = | 425 |