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\frac{4x-5-\left(2x-3\right)}{3}
Since \frac{4x-5}{3} and \frac{2x-3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{4x-5-2x+3}{3}
Do the multiplications in 4x-5-\left(2x-3\right).
\frac{2x-2}{3}
Combine like terms in 4x-5-2x+3.
\frac{4x-5-\left(2x-3\right)}{3}
Since \frac{4x-5}{3} and \frac{2x-3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{4x-5-2x+3}{3}
Do the multiplications in 4x-5-\left(2x-3\right).
\frac{2x-2}{3}
Combine like terms in 4x-5-2x+3.