Simplify -1/8(4/5x-24)

$- \frac{1}{8} (\frac{4}{5} x - 24)$

Combine $\frac{4}{5}$ and $x$ .

$- \frac{1}{8} \cdot (\frac{4 x}{5} - 24)$

Apply the distributive property.

$- \frac{1}{8} \cdot \frac{4 x}{5} - \frac{1}{8} \cdot - 24$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{1}{8}$ into the numerator.

$\frac{- 1}{8} \cdot \frac{4 x}{5} - \frac{1}{8} \cdot - 24$

Factor $4$ out of $8$ .

$\frac{- 1}{4 (2)} \cdot \frac{4 x}{5} - \frac{1}{8} \cdot - 24$

Factor $4$ out of $4 x$ .

$\frac{- 1}{4 (2)} \cdot \frac{4 (x)}{5} - \frac{1}{8} \cdot - 24$

Cancel the common factor.

$\frac{- 1}{4 \cdot 2} \cdot \frac{4 x}{5} - \frac{1}{8} \cdot - 24$

Rewrite the expression.

$\frac{- 1}{2} \cdot \frac{x}{5} - \frac{1}{8} \cdot - 24$

Multiply $\frac{- 1}{2}$ by $\frac{x}{5}$ .

$\frac{- x}{2 \cdot 5} - \frac{1}{8} \cdot - 24$

Multiply $2$ by $5$ .

$\frac{- x}{10} - \frac{1}{8} \cdot - 24$

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{1}{8}$ into the numerator.

$\frac{- x}{10} + \frac{- 1}{8} \cdot - 24$

Factor $8$ out of $- 24$ .

$\frac{- x}{10} + \frac{- 1}{8} \cdot (8 (- 3))$

Cancel the common factor.

$\frac{- x}{10} + \frac{- 1}{8} \cdot (8 \cdot - 3)$

Rewrite the expression.

$\frac{- x}{10} - 1 \cdot - 3$

Simplify the expression.

Multiply $- 1$ by $- 3$ .

$\frac{- x}{10} + 3$

Move the negative in front of the fraction.

$- \frac{x}{10} + 3$