| ( | ( | 1 | ÷ | 60 | ) | + | ( | 1 | ÷ | 40 | ) | ) | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) | = | 1 |
| 方程左边 = | ( | 1 | ÷ | 60 | ) | x | + | ( | 1 | ÷ | 40 | ) | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 | ÷ | 60 | × | x | + | ( | 1 | ÷ | 40 | ) | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 60 | x | + | ( | 1 | ÷ | 40 | ) | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 60 | x | + | 1 | ÷ | 40 | × | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 60 | x | + | 1 40 | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | ( | 1 | ÷ | 40 | ) | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | 1 | ÷ | 40 | × | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | 1 40 | ( | 1 | + | 25 100 | ) | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | 1 40 | × | 1 | ( | 2 | x | + | 4 | − | x | ) | + | 1 40 | × | 25 100 | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | 1 40 | ( | 2 | x | + | 4 | − | x | ) | + | 1 160 | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | 1 40 | × | 2 | x | + | 1 40 | × | 4 | − | 1 40 | x | + | 1 160 | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 24 | x | + | 1 20 | x | + | 1 10 | − | 1 40 | x | + | 1 160 | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 15 | x | + | 1 10 | + | 1 160 | ( | 2 | x | + | 4 | − | x | ) |
| = | 1 15 | x | + | 1 10 | + | 1 160 | × | 2 | x | + | 1 160 | × | 4 | − | 1 160 | x |
| = | 1 15 | x | + | 1 10 | + | 1 80 | x | + | 1 40 | − | 1 160 | x |
| = | 7 96 | x | + | 1 8 |
7 96 | x | + | 1 8 | = | 1 |
7 96 | x | = | 1 | − | 1 8 |
7 96 | x | = | 7 8 |
| x | = | 7 8 | ÷ | 7 96 |
| = | 7 8 | × | 96 7 |
| = | 1 | × | 12 |
| x | = | 12 |