| ( | 100 | − | X | ÷ | 1 10 | ) | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) | − | X | ÷ | 1 10 | × | 1 20 | = | 519 5 |
| Left side of the equation = | ( | 100 | − | X | ÷ | 1 10 | ) | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) | − | X | × | 1 2 |
| ( | 100 | − | X | ÷ | 1 10 | ) | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) | − | 1 2 | X | = | 519 5 |
| Left side of the equation = | 100 | ( | 121 100 | + | X | ) | − | X | ÷ | 1 10 | × | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) | − | 1 2 | X |
| = | 100 | × | 121 100 | + | 100 | X | − | X | × | 10 | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) | − | 1 2 | X |
| = | 121 | + | 100 | X | − | X | × | 10 | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) | − | 1 2 | X |
| = | 121 | + | 199 2 | X | − | X | × | 10 | ( | 121 100 | + | X | ) | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) |
| = | 121 | + | 199 2 | X | − | X | × | 10 | × | 121 100 | − | X | × | 10 | X | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) |
| = | 121 | + | 199 2 | X | − | X | × | 121 10 | − | X | × | 10 | X | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) |
| = | 121 | + | 437 5 | X | − | X | × | 10 | X | − | 1 10 | ( | 100 | − | X | ÷ | 1 10 | ) |
| = | 121 | + | 437 5 | X | − | X | × | 10 | X | − | 1 10 | × | 100 | + | 1 10 | X | ÷ | 1 10 |
| = | 121 | + | 437 5 | X | − | X | × | 10 | X | − | 10 | + | 1 | X |
| = | 111 | + | 442 5 | X | − | X | × | 10 | X |
| 111 | + | 442 5 | X | − | X | × | 10 | X | = | 519 5 |