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\frac{5}{3\left(x+2\right)}+\frac{2}{5\left(x+2\right)}
Factor 3x+6. Factor 5x+10.
\frac{5\times 5}{15\left(x+2\right)}+\frac{2\times 3}{15\left(x+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3\left(x+2\right) and 5\left(x+2\right) is 15\left(x+2\right). Multiply \frac{5}{3\left(x+2\right)} times \frac{5}{5}. Multiply \frac{2}{5\left(x+2\right)} times \frac{3}{3}.
\frac{5\times 5+2\times 3}{15\left(x+2\right)}
Since \frac{5\times 5}{15\left(x+2\right)} and \frac{2\times 3}{15\left(x+2\right)} have the same denominator, add them by adding their numerators.
\frac{25+6}{15\left(x+2\right)}
Do the multiplications in 5\times 5+2\times 3.
\frac{31}{15\left(x+2\right)}
Do the calculations in 25+6.
\frac{31}{15x+30}
Expand 15\left(x+2\right).