\(\frac{2016+x}{x}+\frac{2520+x}{x}+\frac{3024+x}{x}=\frac{2016}{x}+\frac{x}{x}+\frac{2520}{x}+\frac{x}{x}+\frac{3024}{x}+\frac{x}{x}\)
\(=\frac{2016+2520+3024}{x}+3\)
\(=\frac{7560}{x}+3\)
\(\frac{7560}{x}+3=2523\)
\(\frac{7560}{x}=2520\)
\(x=\frac{7560}{2520}\)
\(x=3\)