| ( | ( | 1 | ÷ | 3000 | ) | + | ( | 1 | ÷ | 2000 | ) | + | ( | 1000 | ) | ) | × | 3 | x | = | ( | 6 | x | ÷ | 2000 | ) | + | ( | 10 | ÷ | 1000 | ) |
| Left side of the equation = | ( | 1 | ÷ | 3000 | ) | × | 3 | x | + | ( | 1 | ÷ | 2000 | ) | × | 3 | x | + | ( | 1000 | ) | × | 3 | x |
| = | 1 | ÷ | 3000 | × | 3 | x | + | ( | 1 | ÷ | 2000 | ) | × | 3 | x | + | ( | 1000 | ) | × | 3 | x |
| = | 1 1000 | x | + | ( | 1 | ÷ | 2000 | ) | × | 3 | x | + | ( | 1000 | ) | × | 3 | x |
| = | 1 1000 | x | + | 1 | ÷ | 2000 | × | 3 | x | + | ( | 1000 | ) | × | 3 | x |
| = | 1 1000 | x | + | 3 2000 | x | + | ( | 1000 | ) | × | 3 | x |
| = | 1 400 | x | + | ( | 1000 | ) | × | 3 | x |
| = | 1 400 | x | + | 1000 | × | 3 | x |
| = | 1 400 | x | + | 3000 | x |
| = | 1200001 400 | x |
1200001 400 | x | = | ( | 6 | x | ÷ | 2000 | ) | + | ( | 10 | ÷ | 1000 | ) |
| Right side of the equation = | 6 | x | ÷ | 2000 | + | ( | 10 | ÷ | 1000 | ) |
| = | 3 1000 | x | + | ( | 10 | ÷ | 1000 | ) |
| = | 3 1000 | x | + | 10 | ÷ | 1000 |
| = | 3 1000 | x | + | 1 100 |
1200001 400 | x | = | 3 1000 | x | + | 1 100 |
1200001 400 | x | − | 3 1000 | x | = | 1 100 |
5999999 2000 | x | = | 1 100 |
| x | = | 1 100 | ÷ | 5999999 2000 |
| = | 1 100 | × | 2000 5999999 |
| = | 1 | × | 20 5999999 |
| x | = | 20 5999999 |
| x | = | 0.000003 |