Simplify (x+3)/(x-2)+(3x-8)/(x-2)

$\frac{x + 3}{x - 2} + \frac{3 x - 8}{x - 2}$

Combine the numerators over the common denominator.

$\frac{x + 3 + 3 x - 8}{x - 2}$

Add $x$ and $3 x$ .

$\frac{4 x + 3 - 8}{x - 2}$

Subtract $8$ from $3$ .

$\frac{4 x - 5}{x - 2}$