Subtract (4x+1)/(x-5)-(3x-4)/(x-5)

$\frac{4 x + 1}{x - 5} - \frac{3 x - 4}{x - 5}$

Combine the numerators over the common denominator.

$\frac{4 x + 1 - (3 x - 4)}{x - 5}$

Simplify the numerator.

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Apply the distributive property.

$\frac{4 x + 1 - (3 x) - - 4}{x - 5}$

Multiply $3$ by $- 1$ .

$\frac{4 x + 1 - 3 x - - 4}{x - 5}$

Multiply $- 1$ by $- 4$ .

$\frac{4 x + 1 - 3 x + 4}{x - 5}$

Subtract $3 x$ from $4 x$ .

$\frac{x + 1 + 4}{x - 5}$

Add $1$ and $4$ .

$\frac{x + 5}{x - 5}$

Subtract (4x+1)/(x-5)-(3x-4)/(x-5)

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