| ( | ( | 3 10 | x | + | 4 5 | ) | ÷ | 1 2 | ) | − | ( | ( | 1 50 | x | + | 3 10 | ) | ÷ | 3 10 | ) | − | 1 | = | ( | ( | 4 5 | x | − | 2 5 | ) | ÷ | 3 | ) |
| 方程左边 = | ( | 3 10 | x | + | 4 5 | ) | ÷ | 1 2 | − | ( | ( | 1 50 | x | + | 3 10 | ) | ÷ | 3 10 | ) | − | 1 |
| = | 3 10 | x | × | 2 | + | 4 5 | × | 2 | − | ( | ( | 1 50 | x | + | 3 10 | ) | ÷ | 3 10 | ) | − | 1 |
| = | 3 5 | x | + | 8 5 | − | ( | ( | 1 50 | x | + | 3 10 | ) | ÷ | 3 10 | ) | − | 1 |
| = | 3 5 | x | + | 3 5 | − | ( | ( | 1 50 | x | + | 3 10 | ) | ÷ | 3 10 | ) |
| = | 3 5 | x | + | 3 5 | − | ( | 1 50 | x | + | 3 10 | ) | ÷ | 3 10 |
| = | 3 5 | x | + | 3 5 | − | 1 50 | x | × | 10 3 | − | 3 10 | × | 10 3 |
| = | 3 5 | x | + | 3 5 | − | 1 15 | x | − | 1 |
| = | 8 15 | x | − | 2 5 |
8 15 | x | − | 2 5 | = | ( | ( | 4 5 | x | − | 2 5 | ) | ÷ | 3 | ) |
| 方程右边 = | ( | 4 5 | x | − | 2 5 | ) | ÷ | 3 |
| = | 4 5 | x | × | 1 3 | − | 2 5 | × | 1 3 |
| = | 4 15 | x | − | 2 15 |
8 15 | x | − | 2 5 | = | 4 15 | x | − | 2 15 |
8 15 | x | − | 4 15 | x | = | - | 2 15 | + | 2 5 |
4 15 | x | = | - | 2 15 | + | 2 5 |
4 15 | x | = | 4 15 |
| x | = | 4 15 | ÷ | 4 15 |
| = | 4 15 | × | 15 4 |
| = | 1 | × | 1 |
| x | = | 1 |