| ( | x | − | 1 | ) | ÷ | 2 | − | ( | 2 | x | + | 1 | ) | ÷ | 5 | = | ( | 3 | x | + | 1 | ) | ÷ | 4 | − | 1 |
| 方程左边 = | x | × | 1 2 | − | 1 | × | 1 2 | − | ( | 2 | x | + | 1 | ) | × | 1 5 |
| = | x | × | 1 2 | − | 1 2 | − | ( | 2 | x | + | 1 | ) | × | 1 5 |
| = | 1 2 | x | − | 1 2 | − | 2 | x | × | 1 5 | − | 1 | × | 1 5 |
| = | 1 2 | x | − | 1 2 | − | 2 5 | x | − | 1 5 |
| = | 1 10 | x | − | 7 10 |
1 10 | x | − | 7 10 | = | ( | 3 | x | + | 1 | ) | ÷ | 4 | − | 1 |
| 方程右边 = | 3 | x | × | 1 4 | + | 1 | × | 1 4 | − | 1 |
| = | 3 4 | x | + | 1 4 | − | 1 |
| = | 3 4 | x | − | 3 4 |
1 10 | x | − | 7 10 | = | 3 4 | x | − | 3 4 |
1 10 | x | − | 3 4 | x | = | - | 3 4 | + | 7 10 |
| - | 13 20 | x | = | - | 3 4 | + | 7 10 |
| - | 13 20 | x | = | - | 1 20 |
1 20 | = | 13 20 | x |
13 20 | x | = | 1 20 |
| x | = | 1 20 | ÷ | 13 20 |
| = | 1 20 | × | 20 13 |
| = | 1 | × | 1 13 |
| x | = | 1 13 |
| x | = | 0.076923 |