| 2 | ( | ( | 15 | ÷ | 150 | ) | + | ( | 10 | ÷ | 150 | ) | ) | + | ( | 10 | ÷ | 150 | ) | x | = | 1 |
| Left side of the equation = | 2 | ( | 15 | ÷ | 150 | ) | + | 2 | ( | 10 | ÷ | 150 | ) | + | ( | 10 | ÷ | 150 | ) | x |
| = | 2 | × | 15 | ÷ | 150 | + | 2 | ( | 10 | ÷ | 150 | ) | + | ( | 10 | ÷ | 150 | ) | x |
| = | 1 5 | + | 2 | ( | 10 | ÷ | 150 | ) | + | ( | 10 | ÷ | 150 | ) | x |
| = | 1 5 | + | 2 | × | 10 | ÷ | 150 | + | ( | 10 | ÷ | 150 | ) | x |
| = | 1 5 | + | 2 15 | + | ( | 10 | ÷ | 150 | ) | x |
| = | 1 3 | + | ( | 10 | ÷ | 150 | ) | x |
| = | 1 3 | + | 10 | ÷ | 150 | × | x |
| = | 1 3 | + | 1 15 | x |
1 3 | + | 1 15 | x | = | 1 |
1 15 | x | = | 1 | − | 1 3 |
1 15 | x | = | 2 3 |
| x | = | 2 3 | ÷ | 1 15 |
| = | 2 3 | × | 15 |
| = | 2 | × | 5 |
| x | = | 10 |