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