11 10 | x | ( | 1 | + | 1 5 | ) | − | x | ( | 1 | + | 3 10 | ) | = | 6 |
| Left side of the equation = | 11 10 | x | × | 1 | + | 11 10 | x | × | 1 5 | − | x | ( | 1 | + | 3 10 | ) |
| = | 11 10 | x | + | 11 50 | x | − | x | ( | 1 | + | 3 10 | ) |
| = | 33 25 | x | − | x | ( | 1 | + | 3 10 | ) |
| = | 33 25 | x | − | x | × | 1 | − | x | × | 3 10 |
| = | 1 50 | x |
1 50 | x | = | 6 |
| x | = | 6 | ÷ | 1 50 |
| = | 6 | × | 50 |
| x | = | 300 |