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\frac{3\left(x+3\right)}{6}+\frac{2\left(2x-5\right)}{6}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 3 is 6. Multiply \frac{x+3}{2} times \frac{3}{3}. Multiply \frac{2x-5}{3} times \frac{2}{2}.
\frac{3\left(x+3\right)+2\left(2x-5\right)}{6}
Since \frac{3\left(x+3\right)}{6} and \frac{2\left(2x-5\right)}{6} have the same denominator, add them by adding their numerators.
\frac{3x+9+4x-10}{6}
Do the multiplications in 3\left(x+3\right)+2\left(2x-5\right).
\frac{7x-1}{6}
Combine like terms in 3x+9+4x-10.
\frac{3\left(x+3\right)}{6}+\frac{2\left(2x-5\right)}{6}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 3 is 6. Multiply \frac{x+3}{2} times \frac{3}{3}. Multiply \frac{2x-5}{3} times \frac{2}{2}.
\frac{3\left(x+3\right)+2\left(2x-5\right)}{6}
Since \frac{3\left(x+3\right)}{6} and \frac{2\left(2x-5\right)}{6} have the same denominator, add them by adding their numerators.
\frac{3x+9+4x-10}{6}
Do the multiplications in 3\left(x+3\right)+2\left(2x-5\right).
\frac{7x-1}{6}
Combine like terms in 3x+9+4x-10.