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