| ( | x | − | 3 | ) | × | 3 | ÷ | 2 | = | 6 | ÷ | 5 | × | x |
| Left side of the equation = | ( | x | − | 3 | ) | × | 3 2 |
| ( | x | − | 3 | ) | × | 3 2 | = | 6 | ÷ | 5 | × | x |
| Left side of the equation = | x | × | 3 2 | − | 3 | × | 3 2 |
| = | x | × | 3 2 | − | 9 2 |
3 2 | x | − | 9 2 | = | 6 | ÷ | 5 | × | x |
| Right side of the equation = | 6 5 | x |
3 2 | x | − | 9 2 | = | 6 5 | x |
3 2 | x | − | 6 5 | x | = | 9 2 |
3 10 | x | = | 9 2 |
| x | = | 9 2 | ÷ | 3 10 |
| = | 9 2 | × | 10 3 |
| = | 3 | × | 5 |
| x | = | 15 |