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\frac{x}{2\left(x-5\right)}-3
Factor 2x-10.
\frac{x}{2\left(x-5\right)}-\frac{3\times 2\left(x-5\right)}{2\left(x-5\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2\left(x-5\right)}{2\left(x-5\right)}.
\frac{x-3\times 2\left(x-5\right)}{2\left(x-5\right)}
Since \frac{x}{2\left(x-5\right)} and \frac{3\times 2\left(x-5\right)}{2\left(x-5\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x-6x+30}{2\left(x-5\right)}
Do the multiplications in x-3\times 2\left(x-5\right).
\frac{-5x+30}{2\left(x-5\right)}
Combine like terms in x-6x+30.
\frac{-5x+30}{2x-10}
Expand 2\left(x-5\right).