| x | − | ( | ( | x | − | 1 | ÷ | 3 | × | x | ) | × | 3 | ÷ | 5 | + | 5 | ) | = | 45 |
| 方程左边 = | x | − | ( | x | − | 1 | ÷ | 3 | × | x | ) | × | 3 | ÷ | 5 | − | 5 |
| = | x | − | ( | x | − | 1 | ÷ | 3 | × | x | ) | × | 3 5 | − | 5 |
| = | x | − | x | × | 3 5 | + | 1 | ÷ | 3 | × | x | × | 3 5 | − | 5 |
| = | x | − | x | × | 3 5 | + | 1 5 | x | − | 5 |
| = | 3 5 | x | − | 5 |
3 5 | x | − | 5 | = | 45 |
3 5 | x | = | 45 | + | 5 |
3 5 | x | = | 50 |
| x | = | 50 | ÷ | 3 5 |
| = | 50 | × | 5 3 |
| x | = | 250 3 |
| x | = | 83.333333 |