| ( | 5 | ÷ | 6 | + | 11 10 | ) | x | ÷ | ( | 11 | ÷ | 6 | ) | = | 116 |
| Multiply both sides of the equation by: | ( | 11 | ÷ | 6 | ) |
| ( | 5 | ÷ | 6 | + | 11 10 | ) | x | = | 116 | ( | 11 | ÷ | 6 | ) |
| 5 | ÷ | 6 | × | x | + | 11 10 | x | = | 116 | ( | 11 | ÷ | 6 | ) |
| 5 | ÷ | 6 | × | x | + | 11 10 | x | = | 116 | × | 11 | ÷ | 6 |
5 6 | x | + | 11 10 | x | = | 638 3 |
29 15 | x | = | 638 3 |
| x | = | 638 3 | ÷ | 29 15 |
| = | 638 3 | × | 15 29 |
| = | 22 | × | 5 |
| x | = | 110 |