Simplify -1/3x+(-2/3x)

$- \frac{1}{3} x + (- \frac{2}{3} x)$

Step 1

Remove parentheses.

$- \frac{1}{3} x - \frac{2}{3} x$

Step 2

Simplify each term.

Combine $x$ and $\frac{1}{3}$ .

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

Combine $x$ and $\frac{2}{3}$ .

$- \frac{x}{3} - \frac{x \cdot 2}{3}$

Move $2$ to the left of $x$ .

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

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

Step 3

Simplify terms.

Combine the numerators over the common denominator.

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

Subtract $2 x$ from $- x$ .

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

Cancel the common factor of $- 3$ and $3$ .

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

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

Cancel the common factors.

Factor $3$ out of $3$ .

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

Cancel the common factor.

$\frac{3 (- x)}{3 \cdot 1}$

Rewrite the expression.

$\frac{- x}{1}$

Divide $- x$ by $1$ .

$- x$

$- x$

$- x$

$- x$

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