| x | = | ( | ( | 5 | ÷ | 8 | ) | ( | 2 | ÷ | 5 | ) | ) | + | ( | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) | ) |
| Right side of the equation = | ( | 5 | ÷ | 8 | ) | ( | 2 | ÷ | 5 | ) | + | ( | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) | ) |
| = | 5 | ÷ | 8 | × | ( | 2 | ÷ | 5 | ) | + | ( | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) | ) |
| = | 5 8 | ( | 2 | ÷ | 5 | ) | + | ( | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) | ) |
| = | 5 8 | × | 2 | ÷ | 5 | + | ( | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) | ) |
| = | 1 4 | + | ( | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) | ) |
| = | 1 4 | + | ( | 5 | ÷ | 8 | ) | ( | 3 | ÷ | 10 | ) |
| = | 1 4 | + | 5 | ÷ | 8 | × | ( | 3 | ÷ | 10 | ) |
| = | 1 4 | + | 5 8 | ( | 3 | ÷ | 10 | ) |
| = | 1 4 | + | 5 8 | × | 3 | ÷ | 10 |
| = | 1 4 | + | 3 16 |
| = | 7 16 |
| x | = | 7 16 |