| 100 | x | ÷ | 120 | = | ( | 100 | x | + | 50 | × | 30 100 | ) | ÷ | 150 |
| Left side of the equation = | 5 6 | x |
5 6 | x | = | ( | 100 | x | + | 50 | × | 30 100 | ) | ÷ | 150 |
| Right side of the equation = | 100 | x | × | 1 150 | + | 50 | × | 30 100 | × | 1 150 |
| = | 2 3 | x | + | 1 10 |
5 6 | x | = | 2 3 | x | + | 1 10 |
5 6 | x | − | 2 3 | x | = | 1 10 |
1 6 | x | = | 1 10 |
| x | = | 1 10 | ÷ | 1 6 |
| = | 1 10 | × | 6 |
| = | 1 5 | × | 3 |
| x | = | 3 5 |
| x | = | 0.6 |