The correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].
The given fraction is written as follows;
[tex]3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)[/tex]
[tex]=3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)\\\\= \frac{21}{5} x + 12 - 3 + \frac{5x}{2} \\\\= \frac{21}{5} x +9 + \frac{5x}{2}\\\\= \frac{42x + 90+ 25x}{10} \\\\= \frac{67x}{10} + 9[/tex]
Thus, the correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].
Learn more about mixed fractions here: https://brainly.com/question/1746829
