| 3 | ÷ | 2 | × | ( | x | + | 1 | ÷ | 2 | ) | = | 4 |
| Left side of the equation = | 3 2 | ( | x | + | 1 | ÷ | 2 | ) |
3 2 | ( | x | + | 1 | ÷ | 2 | ) | = | 4 |
| Left side of the equation = | 3 2 | x | + | 3 2 | × | 1 | ÷ | 2 |
| = | 3 2 | x | + | 3 4 |
3 2 | x | + | 3 4 | = | 4 |
3 2 | x | = | 4 | − | 3 4 |
3 2 | x | = | 13 4 |
| x | = | 13 4 | ÷ | 3 2 |
| = | 13 4 | × | 2 3 |
| = | 13 2 | × | 1 3 |
| x | = | 13 6 |
| x | = | 2.166667 |