| ( | x | + | 1 2 | ) | × | 12 | × | 3 | × | 5 2 | = | ( | x | + | 3 2 | ) | × | 60 |
| Left side of the equation = | ( | x | + | 1 2 | ) | × | 90 |
| ( | x | + | 1 2 | ) | × | 90 | = | ( | x | + | 3 2 | ) | × | 60 |
| Left side of the equation = | x | × | 90 | + | 1 2 | × | 90 |
| = | x | × | 90 | + | 45 |
| 90 | x | + | 45 | = | ( | x | + | 3 2 | ) | × | 60 |
| Right side of the equation = | x | × | 60 | + | 3 2 | × | 60 |
| = | x | × | 60 | + | 90 |
| 90 | x | + | 45 | = | 60 | x | + | 90 |
| 90 | x | − | 60 | x | = | 90 | − | 45 |
| 30 | x | = | 90 | − | 45 |
| 30 | x | = | 45 |
| x | = | 45 | ÷ | 30 |
| = | 45 | × | 1 30 |
| = | 3 | × | 1 2 |
| x | = | 3 2 |
| x | = | 1.5 |