| ( | 5 | x | + | 1 | ) | ÷ | 6 | − | 2 | = | ( | x | − | 5 | ) | ÷ | 4 |
| 方程左边 = | 5 | x | × | 1 6 | + | 1 | × | 1 6 | − | 2 |
| = | 5 6 | x | + | 1 6 | − | 2 |
| = | 5 6 | x | − | 11 6 |
5 6 | x | − | 11 6 | = | ( | x | − | 5 | ) | ÷ | 4 |
| 方程右边 = | x | × | 1 4 | − | 5 | × | 1 4 |
| = | x | × | 1 4 | − | 5 4 |
5 6 | x | − | 11 6 | = | 1 4 | x | − | 5 4 |
5 6 | x | − | 1 4 | x | = | - | 5 4 | + | 11 6 |
7 12 | x | = | - | 5 4 | + | 11 6 |
7 12 | x | = | 7 12 |
| x | = | 7 12 | ÷ | 7 12 |
| = | 7 12 | × | 12 7 |
| = | 1 | × | 1 |
| x | = | 1 |