| X | + | ( | 1 | − | X | ) | = | ( | X | + | 10 | ( | X | − | 1 | ) | ) | × | 1 5 |
| 方程左边 = | X | + | 1 | − | X |
| = | 0 | X | + | 1 |
| 1 | = | ( | X | + | 10 | ( | X | − | 1 | ) | ) | × | 1 5 |
| 方程右边 = | X | × | 1 5 | + | 10 | ( | X | − | 1 | ) | × | 1 5 |
| = | X | × | 1 5 | + | 2 | ( | X | − | 1 | ) |
| = | 1 5 | X | + | 2 | X | − | 2 | × | 1 |
| = | 1 5 | X | + | 2 | X | − | 2 |
| = | 11 5 | X | − | 2 |
| 1 | = | 11 5 | X | − | 2 |
| - | 11 5 | X | = | - | 2 | − | 1 |
| - | 11 5 | X | = | - | 3 |
| 3 | = | 11 5 | X |
11 5 | X | = | 3 |
| X | = | 3 | ÷ | 11 5 |
| = | 3 | × | 5 11 |
| X | = | 15 11 |
| X | = | 1.363636 |