Simplify -1/6(24x-60)+2x

$- \frac{1}{6} (24 x - 60) + 2 x$

Step 1

Simplify each term.

Apply the distributive property.

$- \frac{1}{6} (24 x) - \frac{1}{6} \cdot - 60 + 2 x$

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{1}{6}$ into the numerator.

$\frac{- 1}{6} (24 x) - \frac{1}{6} \cdot - 60 + 2 x$

Factor $6$ out of $24 x$ .

$\frac{- 1}{6} (6 (4 x)) - \frac{1}{6} \cdot - 60 + 2 x$

Cancel the common factor.

$\frac{- 1}{6} (6 (4 x)) - \frac{1}{6} \cdot - 60 + 2 x$

Rewrite the expression.

$- 1 (4 x) - \frac{1}{6} \cdot - 60 + 2 x$

Multiply $4$ by $- 1$ .

$- 4 x - \frac{1}{6} \cdot - 60 + 2 x$

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{1}{6}$ into the numerator.

$- 4 x + \frac{- 1}{6} \cdot - 60 + 2 x$

Factor $6$ out of $- 60$ .

$- 4 x + \frac{- 1}{6} \cdot (6 (- 10)) + 2 x$

Cancel the common factor.

$- 4 x + \frac{- 1}{6} \cdot (6 \cdot - 10) + 2 x$

Rewrite the expression.

$- 4 x - 1 \cdot - 10 + 2 x$

Multiply $- 1$ by $- 10$ .

$- 4 x + 10 + 2 x$

Step 2

Add $- 4 x$ and $2 x$ .

$- 2 x + 10$