Step 1: Seperate the mixed numbers from their fractions.
[tex] - 5 - \frac{5}{7} + 8 - 3 - \frac{2}{7}[/tex]
Step 2: Add -5 and -3. The sum of that is -8, thus we have an additive inverse. 8 and -8 cancel out, becoming a 0.
[tex] - 8 - \frac{5}{7} + 8 - \frac{2}{7} = - \frac{5}{7} - \frac{2}{7} [/tex]
[tex] \frac{ - 5 - 2}{7} = \frac{ - 7}{7} = - 1[/tex]
Therefore, the answer is -1
