| ( | 3472 125 | + | x | ) | × | 11 4 | = | 6944 125 | + | 19157 250 | − | x |
| Left side of the equation = | 3472 125 | × | 11 4 | + | x | × | 11 4 |
| = | 9548 125 | + | x | × | 11 4 |
9548 125 | + | 11 4 | x | = | 6944 125 | + | 19157 250 | − | x |
| Right side of the equation = | 6609 50 | − | x |
9548 125 | + | 11 4 | x | = | 6609 50 | − | x |
11 4 | x | + | x | = | 6609 50 | − | 9548 125 |
15 4 | x | = | 6609 50 | − | 9548 125 |
15 4 | x | = | 13949 250 |
| x | = | 13949 250 | ÷ | 15 4 |
| = | 13949 250 | × | 4 15 |
| = | 13949 125 | × | 2 15 |
| x | = | 27898 1875 |
| x | = | 14.878933 |