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