Simplify (6x+4)/(2x-3)+(3x-9)/(2x-3)

$\frac{6 x + 4}{2 x - 3} + \frac{3 x - 9}{2 x - 3}$

Combine the numerators over the common denominator.

$\frac{6 x + 4 + 3 x - 9}{2 x - 3}$

Add $6 x$ and $3 x$ .

$\frac{9 x + 4 - 9}{2 x - 3}$

Subtract $9$ from $4$ .

$\frac{9 x - 5}{2 x - 3}$