Simplify (5x+8)/6+(-8x-3)/6

$\frac{5 x + 8}{6} + \frac{- 8 x - 3}{6}$

Combine the numerators over the common denominator.

$\frac{5 x + 8 - 8 x - 3}{6}$

Subtract $8 x$ from $5 x$ .

$\frac{- 3 x + 8 - 3}{6}$

Subtract $3$ from $8$ .

$\frac{- 3 x + 5}{6}$

Factor $- 1$ out of $- 3 x$ .

$\frac{- (3 x) + 5}{6}$

Rewrite $5$ as $- 1 (- 5)$ .

$\frac{- (3 x) - 1 (- 5)}{6}$

Factor $- 1$ out of $- (3 x) - 1 (- 5)$ .

$\frac{- (3 x - 5)}{6}$

Simplify the expression.

Rewrite $- (3 x - 5)$ as $- 1 (3 x - 5)$ .

$\frac{- 1 (3 x - 5)}{6}$

Move the negative in front of the fraction.

$- \frac{3 x - 5}{6}$