10 100 | = | ( | 1 | + | x | ) | ÷ | ( | 1 | + | 2 100 | ) | − | 1 |
| 方程两边同时乘以: | ( | 1 | + | 2 100 | ) |
10 100 | ( | 1 | + | 2 100 | ) | = | ( | 1 | + | x | ) | − | 1 | ( | 1 | + | 2 100 | ) |
10 100 | × | 1 | + | 10 100 | × | 2 100 | = | ( | 1 | + | x | ) | − | 1 | ( | 1 | + | 2 100 | ) |
10 100 | × | 1 | + | 10 100 | × | 2 100 | = | 1 | + | x | − | 1 | ( | 1 | + | 2 100 | ) |
1 10 | + | 1 500 | = | 1 | + | x | − | 1 | ( | 1 | + | 2 100 | ) |
51 500 | = | 1 | + | x | − | 1 | ( | 1 | + | 2 100 | ) |
51 500 | = | 1 | + | x | − | 1 | × | 1 | − | 1 | × | 2 100 |
51 500 | = | 1 | + | x | − | 1 | − | 1 50 |
51 500 | = | - | 1 50 | + | x |
| - | x | = | - | 1 50 | − | 51 500 |
| - | x | = | - | 61 500 |
61 500 | = | x |
| x | = | 61 500 |