$$\frac{5}{12}-\frac{1}{3} = \frac{1}{12}$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} \frac{5}{12}-\frac{1}{3} &= \frac{1}{12}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12\cdot\frac{5}{12}-12\cdot\frac{1}{3} &= 12\cdot\frac{1}{12}&& \text{cancel out the denominators} \\[1 em]5-4 &= 1&& \text{simplify left side} \\[1 em]1 &= 1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 1 = 1 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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