| 1 | ÷ | 2 | × | x | + | ( | x | + | 1 | ) | = | 3 | ÷ | 2 |
| Left side of the equation = | 1 2 | x | + | ( | x | + | 1 | ) |
1 2 | x | + | ( | x | + | 1 | ) | = | 3 | ÷ | 2 |
| Left side of the equation = | 1 2 | x | + | x | + | 1 |
| = | 3 2 | x | + | 1 |
3 2 | x | + | 1 | = | 3 | ÷ | 2 |
| Right side of the equation = | 3 2 |
3 2 | x | + | 1 | = | 3 2 |
3 2 | x | = | 3 2 | − | 1 |
3 2 | x | = | 1 2 |
| x | = | 1 2 | ÷ | 3 2 |
| = | 1 2 | × | 2 3 |
| = | 1 | × | 1 3 |
| x | = | 1 3 |
| x | = | 0.333333 |