| ( | x | − | 65 | × | 3 | ) | ÷ | 65 | − | ( | x | − | 65 | × | 3 | ) | ÷ | 90 | = | 6 |
| Left side of the equation = | x | × | 1 65 | − | 65 | × | 3 | × | 1 65 | − | ( | x | − | 65 | × | 3 | ) | × | 1 90 |
| = | x | × | 1 65 | − | 3 | − | ( | x | − | 65 | × | 3 | ) | × | 1 90 |
| = | 1 65 | x | − | 3 | − | x | × | 1 90 | + | 65 | × | 3 | × | 1 90 |
| = | 1 65 | x | − | 3 | − | x | × | 1 90 | + | 13 6 |
| = | 1 234 | x | − | 5 6 |
1 234 | x | − | 5 6 | = | 6 |
1 234 | x | = | 6 | + | 5 6 |
1 234 | x | = | 41 6 |
| x | = | 41 6 | ÷ | 1 234 |
| = | 41 6 | × | 234 |
| = | 41 | × | 39 |
| x | = | 1599 |