| ( | 2 5 | + | 9 10 | ) | ÷ | 1 2 | − | ( | 3 100 | + | 1 50 | x | ) | ÷ | 3 100 | = | ( | x | − | 5 | ) | ÷ | 2 |
| 方程左边 = | 2 5 | × | 2 | + | 9 10 | × | 2 | − | ( | 3 100 | + | 1 50 | x | ) | × | 100 3 |
| = | 4 5 | + | 9 5 | − | ( | 3 100 | + | 1 50 | x | ) | × | 100 3 |
| = | 13 5 | − | ( | 3 100 | + | 1 50 | x | ) | × | 100 3 |
| = | 13 5 | − | 3 100 | × | 100 3 | − | 1 50 | x | × | 100 3 |
| = | 13 5 | − | 1 | − | 2 3 | x |
| = | 8 5 | − | 2 3 | x |
8 5 | − | 2 3 | x | = | ( | x | − | 5 | ) | ÷ | 2 |
| 方程右边 = | x | × | 1 2 | − | 5 | × | 1 2 |
| = | x | × | 1 2 | − | 5 2 |
8 5 | − | 2 3 | x | = | 1 2 | x | − | 5 2 |
| - | 2 3 | x | − | 1 2 | x | = | - | 5 2 | − | 8 5 |
| - | 7 6 | x | = | - | 5 2 | − | 8 5 |
| - | 7 6 | x | = | - | 41 10 |
41 10 | = | 7 6 | x |
7 6 | x | = | 41 10 |
| x | = | 41 10 | ÷ | 7 6 |
| = | 41 10 | × | 6 7 |
| = | 41 5 | × | 3 7 |
| x | = | 123 35 |
| x | = | 3.514286 |