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

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

Combine the numerators over the common denominator.

$\frac{x + 6 - (x + 2)}{3}$

Simplify each term.

Apply the distributive property.

$\frac{x + 6 - x - 1 \cdot 2}{3}$

Multiply $- 1$ by $2$ .

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

Simplify by adding terms.

Combine the opposite terms in $x + 6 - x - 2$ .

Subtract $x$ from $x$ .

$\frac{0 + 6 - 2}{3}$

Add $0$ and $6$ .

$\frac{6 - 2}{3}$

Subtract $2$ from $6$ .

$\frac{4}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$