| ( | x | + | 1 | ) | ÷ | 2 | − | ( | 5 | + | x | ) | ÷ | 6 | = | 3 | − | ( | x | − | 1 | ) | ÷ | 3 |
| 方程左边 = | x | × | 1 2 | + | 1 | × | 1 2 | − | ( | 5 | + | x | ) | × | 1 6 |
| = | x | × | 1 2 | + | 1 2 | − | ( | 5 | + | x | ) | × | 1 6 |
| = | 1 2 | x | + | 1 2 | − | 5 | × | 1 6 | − | x | × | 1 6 |
| = | 1 2 | x | + | 1 2 | − | 5 6 | − | x | × | 1 6 |
| = | 1 3 | x | − | 1 3 |
1 3 | x | − | 1 3 | = | 3 | − | ( | x | − | 1 | ) | ÷ | 3 |
| 方程右边 = | 3 | − | x | × | 1 3 | + | 1 | × | 1 3 |
| = | 3 | − | x | × | 1 3 | + | 1 3 |
| = | 10 3 | − | 1 3 | x |
1 3 | x | − | 1 3 | = | 10 3 | − | 1 3 | x |
1 3 | x | + | 1 3 | x | = | 10 3 | + | 1 3 |
2 3 | x | = | 10 3 | + | 1 3 |
2 3 | x | = | 11 3 |
| x | = | 11 3 | ÷ | 2 3 |
| = | 11 3 | × | 3 2 |
| = | 11 | × | 1 2 |
| x | = | 11 2 |
| x | = | 5.5 |