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\frac{2x-6-\left(2x+14\right)}{3x+12}
Since \frac{2x-6}{3x+12} and \frac{2x+14}{3x+12} have the same denominator, subtract them by subtracting their numerators.
\frac{2x-6-2x-14}{3x+12}
Do the multiplications in 2x-6-\left(2x+14\right).
\frac{-20}{3x+12}
Combine like terms in 2x-6-2x-14.
\frac{2x-6-\left(2x+14\right)}{3x+12}
Since \frac{2x-6}{3x+12} and \frac{2x+14}{3x+12} have the same denominator, subtract them by subtracting their numerators.
\frac{2x-6-2x-14}{3x+12}
Do the multiplications in 2x-6-\left(2x+14\right).
\frac{-20}{3x+12}
Combine like terms in 2x-6-2x-14.