| ( | 2 | x | − | 1 | ÷ | 2 | + | 3 | x | ) | − | 4 | ( | x | + | 1 | ÷ | 2 | ) | = | 0 |
| 方程左边 = | 2 | x | − | 1 | ÷ | 2 | + | 3 | x | − | 4 | ( | x | + | 1 | ÷ | 2 | ) |
| = | 2 | x | − | 1 2 | + | 3 | x | − | 4 | ( | x | + | 1 | ÷ | 2 | ) |
| = | 5 | x | − | 1 2 | − | 4 | ( | x | + | 1 | ÷ | 2 | ) |
| = | 5 | x | − | 1 2 | − | 4 | x | − | 4 | × | 1 | ÷ | 2 |
| = | 5 | x | − | 1 2 | − | 4 | x | − | 2 |
| = | 1 | x | − | 5 2 |
| 1 | x | − | 5 2 | = | 0 |
| 1 | x | = | 0 | + | 5 2 |
| x | = | 0 | + | 5 2 |
| x | = | 5 2 |