5 2 | ( | x | + | 2 | ) | = | 2 | ( | 5 2 | + | 50 | + | x | ) |
| 方程左边 = | 5 2 | x | + | 5 2 | × | 2 |
| = | 5 2 | x | + | 5 |
5 2 | x | + | 5 | = | 2 | ( | 5 2 | + | 50 | + | x | ) |
| 方程右边 = | 2 | × | 5 2 | + | 2 | × | 50 | + | 2 | x |
| = | 5 | + | 100 | + | 2 | x |
| = | 105 | + | 2 | x |
5 2 | x | + | 5 | = | 105 | + | 2 | x |
5 2 | x | − | 2 | x | = | 105 | − | 5 |
1 2 | x | = | 105 | − | 5 |
1 2 | x | = | 100 |
| x | = | 100 | ÷ | 1 2 |
| = | 100 | × | 2 |
| x | = | 200 |