| ( | x | − | 1 | ) | ÷ | ( | x | + | 1 | ) | = | 31 50 |
| 方程两边同时乘以: | ( | x | + | 1 | ) |
| ( | x | − | 1 | ) | = | 31 50 | ( | x | + | 1 | ) |
| x | − | 1 | = | 31 50 | ( | x | + | 1 | ) |
| x | − | 1 | = | 31 50 | x | + | 31 50 | × | 1 |
| x | − | 1 | = | 31 50 | x | + | 31 50 |
| x | − | 31 50 | x | = | 31 50 | + | 1 |
19 50 | x | = | 31 50 | + | 1 |
19 50 | x | = | 81 50 |
| x | = | 81 50 | ÷ | 19 50 |
| = | 81 50 | × | 50 19 |
| = | 81 | × | 1 19 |
| x | = | 81 19 |
| x | = | 4.263158 |