| ( | x | + | 1 | ) | + | 2 | ( | x | + | 1 | ) | + | 3 | ( | x | + | 1 | ) | + | 4 | ( | x | + | 1 | ) | = | 5 | ( | x | + | 1 | ) | + | 6 | ( | x | − | 1 | ) |
| 方程左边 = | x | + | 1 | + | 2 | ( | x | + | 1 | ) | + | 3 | ( | x | + | 1 | ) | + | 4 | ( | x | + | 1 | ) |
| = | x | + | 1 | + | 2 | x | + | 2 | × | 1 | + | 3 | ( | x | + | 1 | ) | + | 4 | ( | x | + | 1 | ) |
| = | x | + | 1 | + | 2 | x | + | 2 | + | 3 | ( | x | + | 1 | ) | + | 4 | ( | x | + | 1 | ) |
| = | 3 | x | + | 3 | + | 3 | ( | x | + | 1 | ) | + | 4 | ( | x | + | 1 | ) |
| = | 3 | x | + | 3 | + | 3 | x | + | 3 | × | 1 | + | 4 | ( | x | + | 1 | ) |
| = | 3 | x | + | 3 | + | 3 | x | + | 3 | + | 4 | ( | x | + | 1 | ) |
| = | 6 | x | + | 6 | + | 4 | ( | x | + | 1 | ) |
| = | 6 | x | + | 6 | + | 4 | x | + | 4 | × | 1 |
| = | 6 | x | + | 6 | + | 4 | x | + | 4 |
| = | 10 | x | + | 10 |
| 10 | x | + | 10 | = | 5 | ( | x | + | 1 | ) | + | 6 | ( | x | − | 1 | ) |
| 方程右边 = | 5 | x | + | 5 | × | 1 | + | 6 | ( | x | − | 1 | ) |
| = | 5 | x | + | 5 | + | 6 | ( | x | − | 1 | ) |
| = | 5 | x | + | 5 | + | 6 | x | − | 6 | × | 1 |
| = | 5 | x | + | 5 | + | 6 | x | − | 6 |
| = | 11 | x | − | 1 |
| 10 | x | + | 10 | = | 11 | x | − | 1 |
| 10 | x | − | 11 | x | = | - | 1 | − | 10 |
| - | x | = | - | 1 | − | 10 |
| - | x | = | - | 1 | − | 10 |
| - | x | = | - | 11 |
| 11 | = | x |
| x | = | 11 |