| ( | 5 | x | − | 7 | ) | ÷ | 6 | + | 1 | = | ( | 3 | x | − | 1 | ) | ÷ | 4 |
| 方程左边 = | 5 | x | × | 1 6 | − | 7 | × | 1 6 | + | 1 |
| = | 5 6 | x | − | 7 6 | + | 1 |
| = | 5 6 | x | − | 1 6 |
5 6 | x | − | 1 6 | = | ( | 3 | x | − | 1 | ) | ÷ | 4 |
| 方程右边 = | 3 | x | × | 1 4 | − | 1 | × | 1 4 |
| = | 3 4 | x | − | 1 4 |
5 6 | x | − | 1 6 | = | 3 4 | x | − | 1 4 |
5 6 | x | − | 3 4 | x | = | - | 1 4 | + | 1 6 |
1 12 | x | = | - | 1 4 | + | 1 6 |
1 12 | x | = | - | 1 12 |
| x | = | - | 1 12 | ÷ | 1 12 |
| = | - | 1 12 | × | 12 |
| = | - | 1 | × | 1 |
| x | = | - | 1 |