| ( | 1 2 | x | + | 9 10 | ) | ÷ | 1 2 | + | ( | x | − | 5 | ) | ÷ | 3 | = | ( | 1 100 | + | 1 50 | x | ) | ÷ | 3 100 |
| 方程左边 = | 1 2 | x | × | 2 | + | 9 10 | × | 2 | + | ( | x | − | 5 | ) | × | 1 3 |
| = | 1 | x | + | 9 5 | + | ( | x | − | 5 | ) | × | 1 3 |
| = | 1 | x | + | 9 5 | + | x | × | 1 3 | − | 5 | × | 1 3 |
| = | 1 | x | + | 9 5 | + | x | × | 1 3 | − | 5 3 |
| = | 4 3 | x | + | 2 15 |
4 3 | x | + | 2 15 | = | ( | 1 100 | + | 1 50 | x | ) | ÷ | 3 100 |
| 方程右边 = | 1 100 | × | 100 3 | + | 1 50 | x | × | 100 3 |
| = | 1 3 | + | 2 3 | x |
4 3 | x | + | 2 15 | = | 1 3 | + | 2 3 | x |
4 3 | x | − | 2 3 | x | = | 1 3 | − | 2 15 |
2 3 | x | = | 1 3 | − | 2 15 |
2 3 | x | = | 1 5 |
| x | = | 1 5 | ÷ | 2 3 |
| = | 1 5 | × | 3 2 |
| x | = | 3 10 |
| x | = | 0.3 |