| 5 | x | ÷ | 4 | + | 4 | ( | 88 | − | x | ) | ÷ | 5 | + | x | = | 88 |
| Left side of the equation = | 5 4 | x | + | 4 5 | ( | 88 | − | x | ) | + | x |
| = | 9 4 | x | + | 4 5 | ( | 88 | − | x | ) |
9 4 | x | + | 4 5 | ( | 88 | − | x | ) | = | 88 |
| Left side of the equation = | 9 4 | x | + | 4 5 | × | 88 | − | 4 5 | x |
| = | 9 4 | x | + | 352 5 | − | 4 5 | x |
| = | 29 20 | x | + | 352 5 |
29 20 | x | + | 352 5 | = | 88 |
29 20 | x | = | 88 | − | 352 5 |
29 20 | x | = | 88 5 |
| x | = | 88 5 | ÷ | 29 20 |
| = | 88 5 | × | 20 29 |
| = | 88 | × | 4 29 |
| x | = | 352 29 |
| x | = | 12.137931 |