| ( | 5 | x | − | 1 | ) | ÷ | 4 | = | ( | 2 | x | + | 1 | ) |
| 方程左边 = | 5 | x | × | 1 4 | − | 1 | × | 1 4 |
| = | 5 4 | x | − | 1 4 |
5 4 | x | − | 1 4 | = | ( | 2 | x | + | 1 | ) |
| 方程右边 = | 2 | x | + | 1 |
5 4 | x | − | 1 4 | = | 2 | x | + | 1 |
5 4 | x | − | 2 | x | = | 1 | + | 1 4 |
| - | 3 4 | x | = | 1 | + | 1 4 |
| - | 3 4 | x | = | 5 4 |
| - | 5 4 | = | 3 4 | x |
3 4 | x | = | - | 5 4 |
| x | = | - | 5 4 | ÷ | 3 4 |
| = | - | 5 4 | × | 4 3 |
| = | - | 5 | × | 1 3 |
| x | = | - | 5 3 |
| x | = | - 1.666667 |