Answer:
[tex]6\frac{7}{10}x + 9[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]
[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]
[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]
Step 2: Combine Like Terms
[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]
[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]
[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]
[tex]9+\frac{67}{10}x[/tex]
[tex]6\frac{7}{10}x + 9[/tex]
Answer: [tex]6\frac{7}{10}x + 9[/tex]
Please let me know if you need to make it more clear! :)
