| ( | 5 | x | − | 1 | ) | ÷ | 4 | = | ( | 3 | x | + | 1 | ) | ÷ | 2 | − | ( | 2 | − | x | ) | ÷ | 3 |
| 方程左边 = | 5 | x | × | 1 4 | − | 1 | × | 1 4 |
| = | 5 4 | x | − | 1 4 |
5 4 | x | − | 1 4 | = | ( | 3 | x | + | 1 | ) | ÷ | 2 | − | ( | 2 | − | x | ) | ÷ | 3 |
| 方程右边 = | 3 | x | × | 1 2 | + | 1 | × | 1 2 | − | ( | 2 | − | x | ) | × | 1 3 |
| = | 3 2 | x | + | 1 2 | − | ( | 2 | − | x | ) | × | 1 3 |
| = | 3 2 | x | + | 1 2 | − | 2 | × | 1 3 | + | x | × | 1 3 |
| = | 3 2 | x | + | 1 2 | − | 2 3 | + | x | × | 1 3 |
| = | 11 6 | x | − | 1 6 |
5 4 | x | − | 1 4 | = | 11 6 | x | − | 1 6 |
5 4 | x | − | 11 6 | x | = | - | 1 6 | + | 1 4 |
| - | 7 12 | x | = | - | 1 6 | + | 1 4 |
| - | 7 12 | x | = | 1 12 |
| - | 1 12 | = | 7 12 | x |
7 12 | x | = | - | 1 12 |
| x | = | - | 1 12 | ÷ | 7 12 |
| = | - | 1 12 | × | 12 7 |
| = | - | 1 | × | 1 7 |
| x | = | - | 1 7 |
| x | = | - 0.142857 |