| ( | 4 | x | − | 1 | ) | ÷ | 5 | = | ( | 2 | x | + | 1 | ) | ÷ | 3 | − | ( | 2 | − | x | ) | ÷ | 3 |
| 方程左边 = | 4 | x | × | 1 5 | − | 1 | × | 1 5 |
| = | 4 5 | x | − | 1 5 |
4 5 | x | − | 1 5 | = | ( | 2 | x | + | 1 | ) | ÷ | 3 | − | ( | 2 | − | x | ) | ÷ | 3 |
| 方程右边 = | 2 | x | × | 1 3 | + | 1 | × | 1 3 | − | ( | 2 | − | x | ) | × | 1 3 |
| = | 2 3 | x | + | 1 3 | − | ( | 2 | − | x | ) | × | 1 3 |
| = | 2 3 | x | + | 1 3 | − | 2 | × | 1 3 | + | x | × | 1 3 |
| = | 2 3 | x | + | 1 3 | − | 2 3 | + | x | × | 1 3 |
| = | 1 | x | − | 1 3 |
4 5 | x | − | 1 5 | = | 1 | x | − | 1 3 |
4 5 | x | − | 1 | x | = | - | 1 3 | + | 1 5 |
| - | 1 5 | x | = | - | 1 3 | + | 1 5 |
| - | 1 5 | x | = | - | 2 15 |
2 15 | = | 1 5 | x |
1 5 | x | = | 2 15 |
| x | = | 2 15 | ÷ | 1 5 |
| = | 2 15 | × | 5 |
| = | 2 3 | × | 1 |
| x | = | 2 3 |
| x | = | 0.666667 |