Simplify 5((x+8)/5-8)

$5 (\frac{x + 8}{5} - 8)$

Step 1

To write $- 8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$5 (\frac{x + 8}{5} - 8 \cdot \frac{5}{5})$

Step 2

Simplify terms.

Combine $- 8$ and $\frac{5}{5}$ .

$5 (\frac{x + 8}{5} + \frac{- 8 \cdot 5}{5})$

Combine the numerators over the common denominator.

$5 \frac{x + 8 - 8 \cdot 5}{5}$

Step 3

Simplify the numerator.

Multiply $- 8$ by $5$ .

$5 \frac{x + 8 - 40}{5}$

Subtract $40$ from $8$ .

$5 \frac{x - 32}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x - 32}{5}$

Rewrite the expression.

$x - 32$