| x | × | 15 100 | + | ( | 70 100 | − | x | ) | × | 12 100 | + | 30 100 | × | 10 100 | = | 13 100 |
| Left side of the equation = | x | × | 15 100 | + | ( | 70 100 | − | x | ) | × | 12 100 | + | 3 100 |
15 100 | x | + | ( | 70 100 | − | x | ) | × | 12 100 | + | 3 100 | = | 13 100 |
| Left side of the equation = | 15 100 | x | + | 70 100 | × | 12 100 | − | x | × | 12 100 | + | 3 100 |
| = | 15 100 | x | + | 21 250 | − | x | × | 12 100 | + | 3 100 |
| = | 3 100 | x | + | 57 500 |
3 100 | x | + | 57 500 | = | 13 100 |
3 100 | x | = | 13 100 | − | 57 500 |
3 100 | x | = | 2 125 |
| x | = | 2 125 | ÷ | 3 100 |
| = | 2 125 | × | 100 3 |
| = | 2 5 | × | 4 3 |
| x | = | 8 15 |
| x | = | 0.533333 |