| x | + | ( | 52 5 | ÷ | 22 5 | ) | ( | ( | 17 2 | x | − | 4 | ) | ÷ | 6 | ) | = | 7 | ÷ | 22 5 |
| Left side of the equation = | x | + | 52 5 | ÷ | 22 5 | × | ( | ( | 17 2 | x | − | 4 | ) | ÷ | 6 | ) |
| = | x | + | 26 11 | ( | ( | 17 2 | x | − | 4 | ) | ÷ | 6 | ) |
| = | x | + | 26 11 | ( | 17 2 | x | − | 4 | ) | ÷ | 6 |
| = | x | + | 13 33 | ( | 17 2 | x | − | 4 | ) |
| = | x | + | 13 33 | × | 17 2 | x | − | 13 33 | × | 4 |
| = | x | + | 221 66 | x | − | 52 33 |
| = | 287 66 | x | − | 52 33 |
287 66 | x | − | 52 33 | = | 7 | ÷ | 22 5 |
| Right side of the equation = | 35 22 |
287 66 | x | − | 52 33 | = | 35 22 |
287 66 | x | = | 35 22 | + | 52 33 |
287 66 | x | = | 19 6 |
| x | = | 19 6 | ÷ | 287 66 |
| = | 19 6 | × | 66 287 |
| = | 19 | × | 11 287 |
| x | = | 209 287 |
| x | = | 0.728223 |