| x | ( | 1 | ÷ | 50 | + | 1 | ÷ | 75 | ) | + | ( | 40 | − | x | ) | = | 1 |
| 方程左边 = | x | × | 1 | ÷ | 50 | + | x | × | 1 | ÷ | 75 | + | ( | 40 | − | x | ) |
| = | x | × | 1 50 | + | x | × | 1 75 | + | ( | 40 | − | x | ) |
| = | 1 30 | x | + | ( | 40 | − | x | ) |
| = | 1 30 | x | + | 40 | − | x |
| = | - | 29 30 | x | + | 40 |
| - | 29 30 | x | + | 40 | = | 1 |
| - | 29 30 | x | = | 1 | − | 40 |
| - | 29 30 | x | = | - | 39 |
| 39 | = | 29 30 | x |
29 30 | x | = | 39 |
| x | = | 39 | ÷ | 29 30 |
| = | 39 | × | 30 29 |
| x | = | 1170 29 |
| x | = | 40.344828 |