| 3 | ( | x | + | 2 | ) | − | 1 | ÷ | 3 | × | ( | 2 | x | − | 3 | ) | = | 2 | ( | 2 | x | − | 3 | ) | − | 1 | ÷ | 2 | × | ( | x | + | 2 | ) |
| 方程左边 = | 3 | ( | x | + | 2 | ) | − | 1 3 | ( | 2 | x | − | 3 | ) |
| 3 | ( | x | + | 2 | ) | − | 1 3 | ( | 2 | x | − | 3 | ) | = | 2 | ( | 2 | x | − | 3 | ) | − | 1 | ÷ | 2 | × | ( | x | + | 2 | ) |
| 方程左边 = | 3 | x | + | 3 | × | 2 | − | 1 3 | ( | 2 | x | − | 3 | ) |
| = | 3 | x | + | 6 | − | 1 3 | ( | 2 | x | − | 3 | ) |
| = | 3 | x | + | 6 | − | 1 3 | × | 2 | x | + | 1 3 | × | 3 |
| = | 3 | x | + | 6 | − | 2 3 | x | + | 1 |
| = | 7 3 | x | + | 7 |
7 3 | x | + | 7 | = | 2 | ( | 2 | x | − | 3 | ) | − | 1 | ÷ | 2 | × | ( | x | + | 2 | ) |
| 方程右边 = | 2 | ( | 2 | x | − | 3 | ) | − | 1 2 | ( | x | + | 2 | ) |
7 3 | x | + | 7 | = | 2 | ( | 2 | x | − | 3 | ) | − | 1 2 | ( | x | + | 2 | ) |
| 方程右边 = | 2 | × | 2 | x | − | 2 | × | 3 | − | 1 2 | ( | x | + | 2 | ) |
| = | 4 | x | − | 6 | − | 1 2 | ( | x | + | 2 | ) |
| = | 4 | x | − | 6 | − | 1 2 | x | − | 1 2 | × | 2 |
| = | 4 | x | − | 6 | − | 1 2 | x | − | 1 |
| = | 7 2 | x | − | 7 |
7 3 | x | + | 7 | = | 7 2 | x | − | 7 |
7 3 | x | − | 7 2 | x | = | - | 7 | − | 7 |
| - | 7 6 | x | = | - | 7 | − | 7 |
| - | 7 6 | x | = | - | 14 |
| 14 | = | 7 6 | x |
7 6 | x | = | 14 |
| x | = | 14 | ÷ | 7 6 |
| = | 14 | × | 6 7 |
| = | 2 | × | 6 |
| x | = | 12 |