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\frac{5x-3-\left(x+2\right)}{15x}
Since \frac{5x-3}{15x} and \frac{x+2}{15x} have the same denominator, subtract them by subtracting their numerators.
\frac{5x-3-x-2}{15x}
Do the multiplications in 5x-3-\left(x+2\right).
\frac{4x-5}{15x}
Combine like terms in 5x-3-x-2.
\frac{5x-3-\left(x+2\right)}{15x}
Since \frac{5x-3}{15x} and \frac{x+2}{15x} have the same denominator, subtract them by subtracting their numerators.
\frac{5x-3-x-2}{15x}
Do the multiplications in 5x-3-\left(x+2\right).
\frac{4x-5}{15x}
Combine like terms in 5x-3-x-2.