Simplify (5x-3)/6+(x-9)/6

$\frac{5 x - 3}{6} + \frac{x - 9}{6}$

Combine the numerators over the common denominator.

$\frac{5 x - 3 + x - 9}{6}$

Add $5 x$ and $x$ .

$\frac{6 x - 3 - 9}{6}$

Subtract $9$ from $- 3$ .

$\frac{6 x - 12}{6}$

Cancel the common factor of $6 x - 12$ and $6$ .

Factor $6$ out of $6 x$ .

$\frac{6 (x) - 12}{6}$

Factor $6$ out of $- 12$ .

$\frac{6 (x) + 6 \cdot - 2}{6}$

Factor $6$ out of $6 (x) + 6 (- 2)$ .

$\frac{6 (x - 2)}{6}$

Cancel the common factors.

Factor $6$ out of $6$ .

$\frac{6 (x - 2)}{6 (1)}$

Cancel the common factor.

$\frac{6 (x - 2)}{6 \cdot 1}$

Rewrite the expression.

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

Divide $x - 2$ by $1$ .

$x - 2$