| ( | 1 5 | x | − | 1 10 | ) | ÷ | 3 10 | − | ( | 3 10 | x | + | 1 10 | ) | ÷ | 3 5 | = | 1 |
| 方程左边 = | 1 5 | x | × | 10 3 | − | 1 10 | × | 10 3 | − | ( | 3 10 | x | + | 1 10 | ) | × | 5 3 |
| = | 2 3 | x | − | 1 3 | − | ( | 3 10 | x | + | 1 10 | ) | × | 5 3 |
| = | 2 3 | x | − | 1 3 | − | 3 10 | x | × | 5 3 | − | 1 10 | × | 5 3 |
| = | 2 3 | x | − | 1 3 | − | 1 2 | x | − | 1 6 |
| = | 1 6 | x | − | 1 2 |
1 6 | x | − | 1 2 | = | 1 |
1 6 | x | = | 1 | + | 1 2 |
1 6 | x | = | 3 2 |
| x | = | 3 2 | ÷ | 1 6 |
| = | 3 2 | × | 6 |
| = | 3 | × | 3 |
| x | = | 9 |