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\frac{3}{4\left(x+2\right)}+\frac{4}{3\left(x+2\right)}
Factor 4x+8. Factor 3x+6.
\frac{3\times 3}{12\left(x+2\right)}+\frac{4\times 4}{12\left(x+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4\left(x+2\right) and 3\left(x+2\right) is 12\left(x+2\right). Multiply \frac{3}{4\left(x+2\right)} times \frac{3}{3}. Multiply \frac{4}{3\left(x+2\right)} times \frac{4}{4}.
\frac{3\times 3+4\times 4}{12\left(x+2\right)}
Since \frac{3\times 3}{12\left(x+2\right)} and \frac{4\times 4}{12\left(x+2\right)} have the same denominator, add them by adding their numerators.
\frac{9+16}{12\left(x+2\right)}
Do the multiplications in 3\times 3+4\times 4.
\frac{25}{12\left(x+2\right)}
Do the calculations in 9+16.
\frac{25}{12x+24}
Expand 12\left(x+2\right).