| X | − | 1 | ÷ | 2 | × | ( | 3 | X | − | 2 | ) | = | 2 | ( | 5 | − | X | ) |
| Left side of the equation = | X | − | 1 2 | ( | 3 | X | − | 2 | ) |
| X | − | 1 2 | ( | 3 | X | − | 2 | ) | = | 2 | ( | 5 | − | X | ) |
| Left side of the equation = | X | − | 1 2 | × | 3 | X | + | 1 2 | × | 2 |
| = | X | − | 3 2 | X | + | 1 |
| = | - | 1 2 | X | + | 1 |
| - | 1 2 | X | + | 1 | = | 2 | ( | 5 | − | X | ) |
| Right side of the equation = | 2 | × | 5 | − | 2 | X |
| = | 10 | − | 2 | X |
| - | 1 2 | X | + | 1 | = | 10 | − | 2 | X |
| - | 1 2 | X | + | 2 | X | = | 10 | − | 1 |
3 2 | X | = | 10 | − | 1 |
3 2 | X | = | 9 |
| X | = | 9 | ÷ | 3 2 |
| = | 9 | × | 2 3 |
| = | 3 | × | 2 |
| X | = | 6 |