| ( | 80 | − | x | + | 10 | ) | ÷ | 3 | + | x | ÷ | 4 | × | 6 | = | 100 |
| Left side of the equation = | ( | 80 | − | x | + | 10 | ) | × | 1 3 | + | x | × | 3 2 |
| ( | 80 | − | x | + | 10 | ) | × | 1 3 | + | 3 2 | x | = | 100 |
| Left side of the equation = | 80 | × | 1 3 | − | x | × | 1 3 | + | 10 | × | 1 3 | + | 3 2 | x |
| = | 80 3 | − | x | × | 1 3 | + | 10 3 | + | 3 2 | x |
| = | 30 | + | 7 6 | x |
| 30 | + | 7 6 | x | = | 100 |
7 6 | x | = | 100 | − | 30 |
7 6 | x | = | 70 |
| x | = | 70 | ÷ | 7 6 |
| = | 70 | × | 6 7 |
| = | 10 | × | 6 |
| x | = | 60 |