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\frac{11}{5\left(x-3\right)}+\frac{2}{x-3}
Factor 5x-15.
\frac{11}{5\left(x-3\right)}+\frac{2\times 5}{5\left(x-3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5\left(x-3\right) and x-3 is 5\left(x-3\right). Multiply \frac{2}{x-3} times \frac{5}{5}.
\frac{11+2\times 5}{5\left(x-3\right)}
Since \frac{11}{5\left(x-3\right)} and \frac{2\times 5}{5\left(x-3\right)} have the same denominator, add them by adding their numerators.
\frac{11+10}{5\left(x-3\right)}
Do the multiplications in 11+2\times 5.
\frac{21}{5\left(x-3\right)}
Do the calculations in 11+10.
\frac{21}{5x-15}
Expand 5\left(x-3\right).