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

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Simplify each term.

Apply the distributive property.

$\frac{5 x + 3 - (- 6 x) - 1 \cdot 9}{6}$

Multiply $- 6$ by $- 1$ .

$\frac{5 x + 3 + 6 x - 1 \cdot 9}{6}$

Multiply $- 1$ by $9$ .

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

Step 3

Simplify by adding terms.

Add $5 x$ and $6 x$ .

$\frac{11 x + 3 - 9}{6}$

Subtract $9$ from $3$ .

$\frac{11 x - 6}{6}$