| ( | 2 | x | + | 1 | + | 10 | x | ) | × | 2 | − | 1 | = | ( | 2 | + | 1 | ) | × | 10 | + | x |
| 方程左边 = | 2 | x | × | 2 | + | 1 | × | 2 | + | 10 | x | × | 2 | − | 1 |
| = | 4 | x | + | 2 | + | 20 | x | − | 1 |
| = | 24 | x | + | 1 |
| 24 | x | + | 1 | = | ( | 2 | + | 1 | ) | × | 10 | + | x |
| 方程右边 = | 2 | × | 10 | + | 1 | × | 10 | + | x |
| = | 20 | + | 10 | + | x |
| = | 30 | + | x |
| 24 | x | + | 1 | = | 30 | + | x |
| 24 | x | − | x | = | 30 | − | 1 |
| 23 | x | = | 30 | − | 1 |
| 23 | x | = | 29 |
| x | = | 29 | ÷ | 23 |
| = | 29 | × | 1 23 |
| x | = | 29 23 |
| x | = | 1.26087 |