| ( | x | ÷ | 3 | ) | − | 1 | = | 5 | − | ( | x | − | 1 | ) | ÷ | 6 |
| 方程左边 = | x | ÷ | 3 | − | 1 |
1 3 | x | − | 1 | = | 5 | − | ( | x | − | 1 | ) | ÷ | 6 |
| 方程右边 = | 5 | − | x | × | 1 6 | + | 1 | × | 1 6 |
| = | 5 | − | x | × | 1 6 | + | 1 6 |
| = | 31 6 | − | 1 6 | x |
1 3 | x | − | 1 | = | 31 6 | − | 1 6 | x |
1 3 | x | + | 1 6 | x | = | 31 6 | + | 1 |
1 2 | x | = | 31 6 | + | 1 |
1 2 | x | = | 37 6 |
| x | = | 37 6 | ÷ | 1 2 |
| = | 37 6 | × | 2 |
| = | 37 3 | × | 1 |
| x | = | 37 3 |
| x | = | 12.333333 |