| 1 | ÷ | 4 | × | ( | x | − | 5 | ) | = | 1 | ÷ | 5 | × | x | + | 5 |
| 方程左边 = | 1 4 | ( | x | − | 5 | ) |
1 4 | ( | x | − | 5 | ) | = | 1 | ÷ | 5 | × | x | + | 5 |
| 方程左边 = | 1 4 | x | − | 1 4 | × | 5 |
| = | 1 4 | x | − | 5 4 |
1 4 | x | − | 5 4 | = | 1 | ÷ | 5 | × | x | + | 5 |
| 方程右边 = | 1 5 | x | + | 5 |
1 4 | x | − | 5 4 | = | 1 5 | x | + | 5 |
1 4 | x | − | 1 5 | x | = | 5 | + | 5 4 |
1 20 | x | = | 5 | + | 5 4 |
1 20 | x | = | 25 4 |
| x | = | 25 4 | ÷ | 1 20 |
| = | 25 4 | × | 20 |
| = | 25 | × | 5 |
| x | = | 125 |