| ( | X | − | 10 | ) | × | 1 10 | − | 1 10 | = | ( | 11 10 | X | − | 12 | ) | ( | 1 | ÷ | 12 | ) |
| Left side of the equation = | X | × | 1 10 | − | 10 | × | 1 10 | − | 1 10 |
| = | X | × | 1 10 | − | 1 | − | 1 10 |
| = | 1 10 | X | − | 11 10 |
1 10 | X | − | 11 10 | = | ( | 11 10 | X | − | 12 | ) | ( | 1 | ÷ | 12 | ) |
| Right side of the equation = | 11 10 | X | ( | 1 | ÷ | 12 | ) | − | 12 | ( | 1 | ÷ | 12 | ) |
| = | 11 10 | X | × | 1 | ÷ | 12 | − | 12 | ( | 1 | ÷ | 12 | ) |
| = | 11 120 | X | − | 12 | ( | 1 | ÷ | 12 | ) |
| = | 11 120 | X | − | 12 | × | 1 | ÷ | 12 |
| = | 11 120 | X | − | 1 |
1 10 | X | − | 11 10 | = | 11 120 | X | − | 1 |
1 10 | X | − | 11 120 | X | = | - | 1 | + | 11 10 |
1 120 | X | = | - | 1 | + | 11 10 |
1 120 | X | = | 1 10 |
| X | = | 1 10 | ÷ | 1 120 |
| = | 1 10 | × | 120 |
| = | 1 | × | 12 |
| X | = | 12 |