| ( | ( | ( | x | ÷ | 2 | + | 1 | ) | ÷ | 2 | + | 2 | ) | ÷ | 2 | + | 3 | ) | ÷ | 2 | = | 6 |
| Left side of the equation = | ( | ( | x | ÷ | 2 | + | 1 | ) | ÷ | 2 | + | 2 | ) | ÷ | 2 | × | 1 2 | + | 3 | × | 1 2 |
| = | ( | ( | x | ÷ | 2 | + | 1 | ) | ÷ | 2 | + | 2 | ) | × | 1 4 | + | 3 2 |
| = | ( | x | ÷ | 2 | + | 1 | ) | ÷ | 2 | × | 1 4 | + | 2 | × | 1 4 | + | 3 2 |
| = | ( | x | ÷ | 2 | + | 1 | ) | × | 1 8 | + | 1 2 | + | 3 2 |
| = | ( | x | ÷ | 2 | + | 1 | ) | × | 1 8 | + | 2 |
| = | x | ÷ | 2 | × | 1 8 | + | 1 | × | 1 8 | + | 2 |
| = | x | × | 1 16 | + | 1 8 | + | 2 |
| = | 1 16 | x | + | 17 8 |
1 16 | x | + | 17 8 | = | 6 |
1 16 | x | = | 6 | − | 17 8 |
1 16 | x | = | 31 8 |
| x | = | 31 8 | ÷ | 1 16 |
| = | 31 8 | × | 16 |
| = | 31 | × | 2 |
| x | = | 62 |