| ( | 11 5 | + | 7 5 | ) | x | + | 11 5 | ( | x | + | 50 | ) | = | 1768 5 |
| Left side of the equation = | 11 5 | x | + | 7 5 | x | + | 11 5 | ( | x | + | 50 | ) |
| = | 18 5 | x | + | 11 5 | ( | x | + | 50 | ) |
| = | 18 5 | x | + | 11 5 | x | + | 11 5 | × | 50 |
| = | 18 5 | x | + | 11 5 | x | + | 110 |
| = | 29 5 | x | + | 110 |
29 5 | x | + | 110 | = | 1768 5 |
29 5 | x | = | 1768 5 | − | 110 |
29 5 | x | = | 1218 5 |
| x | = | 1218 5 | ÷ | 29 5 |
| = | 1218 5 | × | 5 29 |
| = | 42 | × | 1 |
| x | = | 42 |