| x | ÷ | ( | x | + | 1010 | ) | = | 99 1000 |
| 方程两边同时乘以: | ( | x | + | 1010 | ) |
| x | = | 99 1000 | ( | x | + | 1010 | ) |
| x | = | 99 1000 | x | + | 99 1000 | × | 1010 |
| x | = | 99 1000 | x | + | 9999 100 |
| x | − | 99 1000 | x | = | 9999 100 |
901 1000 | x | = | 9999 100 |
| x | = | 9999 100 | ÷ | 901 1000 |
| = | 9999 100 | × | 1000 901 |
| = | 9999 | × | 10 901 |
| x | = | 99990 901 |
| x | = | 110.976693 |