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\frac{7x-\left(x+4\right)}{3x-2}
Since \frac{7x}{3x-2} and \frac{x+4}{3x-2} have the same denominator, subtract them by subtracting their numerators.
\frac{7x-x-4}{3x-2}
Do the multiplications in 7x-\left(x+4\right).
\frac{6x-4}{3x-2}
Combine like terms in 7x-x-4.
\frac{2\left(3x-2\right)}{3x-2}
Factor the expressions that are not already factored in \frac{6x-4}{3x-2}.
2
Cancel out 3x-2 in both numerator and denominator.