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\frac{4x+3-\left(3x+1\right)}{2x-1}
Since \frac{4x+3}{2x-1} and \frac{3x+1}{2x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{4x+3-3x-1}{2x-1}
Do the multiplications in 4x+3-\left(3x+1\right).
\frac{x+2}{2x-1}
Combine like terms in 4x+3-3x-1.
\frac{4x+3-\left(3x+1\right)}{2x-1}
Since \frac{4x+3}{2x-1} and \frac{3x+1}{2x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{4x+3-3x-1}{2x-1}
Do the multiplications in 4x+3-\left(3x+1\right).
\frac{x+2}{2x-1}
Combine like terms in 4x+3-3x-1.