$$5 \cdot \frac{\frac{6}{7}}{2}+\frac{\frac{6}{7}-2}{8} = 2$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 5 \cdot \frac{\frac{6}{7}}{2}+\frac{\frac{6}{7}-2}{8} &= 2&& \text{multiply ALL terms by } \color{blue}{ 56 }. \\[1 em]56\cdot5 \cdot \frac{\frac{6}{7}}{2}+56\frac{\frac{6}{7}-2}{8} &= 56\cdot2&& \text{cancel out the denominators} \\[1 em]120+(-8) &= 112&& \text{simplify left side} \\[1 em]120-8 &= 112&& \\[1 em]112 &= 112&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 112 = 112 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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