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\frac{x-3-\left(x+3\right)}{2x}
Since \frac{x-3}{2x} and \frac{x+3}{2x} have the same denominator, subtract them by subtracting their numerators.
\frac{x-3-x-3}{2x}
Do the multiplications in x-3-\left(x+3\right).
\frac{-6}{2x}
Combine like terms in x-3-x-3.
\frac{x-3-\left(x+3\right)}{2x}
Since \frac{x-3}{2x} and \frac{x+3}{2x} have the same denominator, subtract them by subtracting their numerators.
\frac{x-3-x-3}{2x}
Do the multiplications in x-3-\left(x+3\right).
\frac{-6}{2x}
Combine like terms in x-3-x-3.