| ( | x | + | 5 | ) | ( | x | − | 2 | ) | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) | = | x | + | 15 |
| Left side of the equation = | x | ( | x | − | 2 | ) | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) | + | 5 | ( | x | − | 2 | ) | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) |
| = | x | x | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) | − | x | × | 2 | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) | + | 5 | ( | x | − | 2 | ) | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) |
| = | x | x | × | 2 | ( | x | ÷ | 5 | ) | + | x | x | x | ( | x | ÷ | 5 | ) | − | x | × | 2 | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) |
| = | x | x | × | 2 | x | ÷ | 5 | + | x | x | x | ( | x | ÷ | 5 | ) | − | x | × | 2 | ( | 2 | + | x | ) |
| = | x | x | × | 2 5 | x | + | x | x | x | ( | x | ÷ | 5 | ) | − | x | × | 2 | ( | 2 | + | x | ) | ( | x | ÷ | 5 | ) |
| = | x | x | × | 2 5 | x | + | x | x | x | x | ÷ | 5 | − | x | × | 2 | ( | 2 | + | x | ) |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 2 | × | 2 |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 | ( | x | ÷ | 5 | ) |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |
| = | x | x | × | 2 5 | x | + | x | x | x | x | × | 1 5 | − | x | × | 4 5 | x |