| 1 | + | 1 | ÷ | ( | 1 | + | 1 | ÷ | ( | 1 | + | x | ) | ) | = | 77 50 |
| 方程两边同时乘以: | ( | 1 | + | 1 | ÷ | ( | 1 | + | x | ) | ) |
| 1 | ( | 1 | + | 1 | ÷ | ( | 1 | + | x | ) | ) | + | 1 | = | 77 50 | ( | 1 | + | 1 | ÷ | ( | 1 | + | x | ) | ) |
| 1 | × | 1 | + | 1 | × | 1 | ÷ | ( | 1 | + | x | ) | + | 1 | = | 77 50 | ( | 1 | + | 1 | ÷ | ( | 1 | + | x | ) | ) |
| 1 | × | 1 | + | 1 | × | 1 | ÷ | ( | 1 | + | x | ) | + | 1 | = | 77 50 | × | 1 | + | 77 50 | × | 1 | ÷ | ( | 1 | + | x | ) |
| 1 | + | 1 | ÷ | ( | 1 | + | x | ) | + | 1 | = | 77 50 | + | 77 50 | ÷ | ( | 1 | + | x | ) |
| 2 | + | 1 | ÷ | ( | 1 | + | x | ) | = | 77 50 | + | 77 50 | ÷ | ( | 1 | + | x | ) |
| 方程两边同时乘以: | ( | 1 | + | x | ) |
| 2 | ( | 1 | + | x | ) | + | 1 | = | 77 50 | ( | 1 | + | x | ) | + | 77 50 |
| 2 | × | 1 | + | 2 | x | + | 1 | = | 77 50 | ( | 1 | + | x | ) | + | 77 50 |
| 2 | × | 1 | + | 2 | x | + | 1 | = | 77 50 | × | 1 | + | 77 50 | x | + | 77 50 |
| 2 | + | 2 | x | + | 1 | = | 77 50 | + | 77 50 | x | + | 77 50 |
| 3 | + | 2 | x | = | 77 25 | + | 77 50 | x |
| 2 | x | − | 77 50 | x | = | 77 25 | − | 3 |
23 50 | x | = | 77 25 | − | 3 |
23 50 | x | = | 2 25 |
| x | = | 2 25 | ÷ | 23 50 |
| = | 2 25 | × | 50 23 |
| = | 2 | × | 2 23 |
| x | = | 4 23 |
| x | = | 0.173913 |