| ( | x | + | 3 2 | ) | × | 5 2 | ÷ | 2 | × | 36 | = | 500 |
| Left side of the equation = | ( | x | + | 3 2 | ) | × | 45 |
| ( | x | + | 3 2 | ) | × | 45 | = | 500 |
| Left side of the equation = | x | × | 45 | + | 3 2 | × | 45 |
| = | x | × | 45 | + | 135 2 |
| 45 | x | + | 135 2 | = | 500 |
| 45 | x | = | 500 | − | 135 2 |
| 45 | x | = | 865 2 |
| x | = | 865 2 | ÷ | 45 |
| = | 865 2 | × | 1 45 |
| = | 173 2 | × | 1 9 |
| x | = | 173 18 |
| x | = | 9.611111 |