| ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) | = | x | ÷ | 500 |
| 方程左边 = | 10 | ÷ | 13 | × | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) | − | x | ÷ | 500 | × | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) |
| = | 10 13 | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) | − | x | × | 1 500 | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) |
| = | 10 13 | × | 10 | ÷ | 13 | − | 10 13 | x | ÷ | 500 | − | x | × | 1 500 | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) |
| = | 100 169 | − | 1 650 | x | − | x | × | 1 500 | ( | 10 | ÷ | 13 | − | x | ÷ | 500 | ) |
| = | 100 169 | − | 1 650 | x | − | x | × | 1 500 | × | 10 | ÷ | 13 | + | x | × | 1 500 | x | ÷ | 500 |
| = | 100 169 | − | 1 650 | x | − | x | × | 1 650 | + | x | × | 1 250000 | x |
| = | 100 169 | − | 1 325 | x | + | x | × | 1 250000 | x |
100 169 | − | 1 325 | x | + | x | × | 1 250000 | x | = | x | ÷ | 500 |