| ( | x | + | 11 10 | ) | ( | 1 | + | 1 5 | ) | + | 6 | = | x | ( | 1 | + | 3 10 | ) |
| Left side of the equation = | x | ( | 1 | + | 1 5 | ) | + | 11 10 | ( | 1 | + | 1 5 | ) | + | 6 |
| = | x | × | 1 | + | x | × | 1 5 | + | 11 10 | ( | 1 | + | 1 5 | ) | + | 6 |
| = | 6 5 | x | + | 11 10 | ( | 1 | + | 1 5 | ) | + | 6 |
| = | 6 5 | x | + | 11 10 | × | 1 | + | 11 10 | × | 1 5 | + | 6 |
| = | 6 5 | x | + | 11 10 | + | 11 50 | + | 6 |
| = | 6 5 | x | + | 183 25 |
6 5 | x | + | 183 25 | = | x | ( | 1 | + | 3 10 | ) |
| Right side of the equation = | x | × | 1 | + | x | × | 3 10 |
| = | 13 10 | x |
6 5 | x | + | 183 25 | = | 13 10 | x |
6 5 | x | − | 13 10 | x | = | - | 183 25 |
| - | 1 10 | x | = | - | 183 25 |
183 25 | = | 1 10 | x |
1 10 | x | = | 183 25 |
| x | = | 183 25 | ÷ | 1 10 |
| = | 183 25 | × | 10 |
| = | 183 5 | × | 2 |
| x | = | 366 5 |
| x | = | 73.2 |