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\frac{9x-\left(7x-6\right)}{x+3}
Since \frac{9x}{x+3} and \frac{7x-6}{x+3} have the same denominator, subtract them by subtracting their numerators.
\frac{9x-7x+6}{x+3}
Do the multiplications in 9x-\left(7x-6\right).
\frac{2x+6}{x+3}
Combine like terms in 9x-7x+6.
\frac{2\left(x+3\right)}{x+3}
Factor the expressions that are not already factored in \frac{2x+6}{x+3}.
2
Cancel out x+3 in both numerator and denominator.