| ( | 1 2 | x | − | 2 | ) | ÷ | 3 100 | − | x | = | ( | 3 10 | ( | 5 | x | + | 2 | ) | ) | ÷ | 1 5 |
| 方程左边 = | 1 2 | x | × | 100 3 | − | 2 | × | 100 3 | − | x |
| = | 50 3 | x | − | 200 3 | − | x |
| = | 47 3 | x | − | 200 3 |
47 3 | x | − | 200 3 | = | ( | 3 10 | ( | 5 | x | + | 2 | ) | ) | ÷ | 1 5 |
| 方程右边 = | 3 10 | ( | 5 | x | + | 2 | ) | × | 5 |
| = | 3 2 | ( | 5 | x | + | 2 | ) |
| = | 3 2 | × | 5 | x | + | 3 2 | × | 2 |
| = | 15 2 | x | + | 3 |
47 3 | x | − | 200 3 | = | 15 2 | x | + | 3 |
47 3 | x | − | 15 2 | x | = | 3 | + | 200 3 |
49 6 | x | = | 3 | + | 200 3 |
49 6 | x | = | 209 3 |
| x | = | 209 3 | ÷ | 49 6 |
| = | 209 3 | × | 6 49 |
| = | 209 | × | 2 49 |
| x | = | 418 49 |
| x | = | 8.530612 |