| 100 | × | 1 2 | + | ( | x | − | 100 | ) | × | 3 5 | = | 3 5 | x |
| Left side of the equation = | 50 | + | ( | x | − | 100 | ) | × | 3 5 |
| 50 | + | ( | x | − | 100 | ) | × | 3 5 | = | 3 5 | x |
| Left side of the equation = | 50 | + | x | × | 3 5 | − | 100 | × | 3 5 |
| = | 50 | + | x | × | 3 5 | − | 60 |
| = | - | 10 | + | 3 5 | x |
| - | 10 | + | 3 5 | x | = | 3 5 | x |
3 5 | x | − | 3 5 | x | = | 10 |
| 0 | x | = | 10 |