1960 AHSME Problem 30

Given the line 3x+5y=15 and a point on this line equidistant from the coordinate axes. Such a point exists in:

\textbf{(A)}\ \text{none of the quadrants}\qquad\textbf{(B)}\ \text{quadrant I only}\qquad\textbf{(C)}\ \text{quadrants I, II only}\qquad \textbf{(D)}\ \text{quadrants I, II, III only}\qquad\textbf{(E)}\ \text{each of the quadrants}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.