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\frac{5}{2\left(x-4\right)}+\frac{3}{8\left(x-4\right)}
Factor 2x-8. Factor 8x-32.
\frac{5\times 4}{8\left(x-4\right)}+\frac{3}{8\left(x-4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2\left(x-4\right) and 8\left(x-4\right) is 8\left(x-4\right). Multiply \frac{5}{2\left(x-4\right)} times \frac{4}{4}.
\frac{5\times 4+3}{8\left(x-4\right)}
Since \frac{5\times 4}{8\left(x-4\right)} and \frac{3}{8\left(x-4\right)} have the same denominator, add them by adding their numerators.
\frac{20+3}{8\left(x-4\right)}
Do the multiplications in 5\times 4+3.
\frac{23}{8\left(x-4\right)}
Do the calculations in 20+3.
\frac{23}{8x-32}
Expand 8\left(x-4\right).