| ( | 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | ) | ÷ | ( | 53 | + | x | ) | = | 22 5 |
| Multiply both sides of the equation by: | ( | 53 | + | x | ) |
| ( | 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | ) | = | 22 5 | ( | 53 | + | x | ) |
| 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | = | 22 5 | ( | 53 | + | x | ) |
| 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | = | 22 5 | × | 53 | + | 22 5 | x |
| 5 | ( | 37 | + | x | ) | + | 24 | + | 4 | + | 12 | + | 2 | = | 1166 5 | + | 22 5 | x |
| 5 | ( | 37 | + | x | ) | + | 42 | = | 1166 5 | + | 22 5 | x |
| 5 | × | 37 | + | 5 | x | + | 42 | = | 1166 5 | + | 22 5 | x |
| 185 | + | 5 | x | + | 42 | = | 1166 5 | + | 22 5 | x |
| 227 | + | 5 | x | = | 1166 5 | + | 22 5 | x |
| 5 | x | − | 22 5 | x | = | 1166 5 | − | 227 |
3 5 | x | = | 1166 5 | − | 227 |
3 5 | x | = | 31 5 |
| x | = | 31 5 | ÷ | 3 5 |
| = | 31 5 | × | 5 3 |
| = | 31 | × | 1 3 |
| x | = | 31 3 |
| x | = | 10.333333 |