Simplify (3x+2)/(x-1)+(2x-5)/(x-1)

$\frac{3 x + 2}{x - 1} + \frac{2 x - 5}{x - 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 x + 2 + 2 x - 5}{x - 1}$

Step 2

Add $3 x$ and $2 x$ .

$\frac{5 x + 2 - 5}{x - 1}$

Step 3

Subtract $5$ from $2$ .

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