Factor -1/2(32x-40)+(20x-4)

$- \frac{1}{2} (32 x - 40) + (20 x - 4)$

Step 1

Remove parentheses.

$- \frac{1}{2} \cdot (32 x - 40) + 20 x - 4$

Step 2

Factor $\frac{1}{2}$ out of each term.

$\frac{1}{2} \cdot (- 1 (32 x - 40) + 40 x - 8)$

Step 3

Apply the distributive property.

$\frac{1}{2} \cdot (- 1 (32 x) - 1 \cdot - 40 + 40 x - 8)$

Step 4

Multiply $32$ by $- 1$ .

$\frac{1}{2} \cdot (- 32 x - 1 \cdot - 40 + 40 x - 8)$

Step 5

Multiply $- 1$ by $- 40$ .

$\frac{1}{2} \cdot (- 32 x + 40 + 40 x - 8)$

Step 6

Add $- 32 x$ and $40 x$ .

$\frac{1}{2} \cdot (8 x + 40 - 8)$

Step 7

Subtract $8$ from $40$ .

$\frac{1}{2} \cdot (8 x + 32)$

Step 8

Factor.

Factor $8$ out of $8 x + 32$ .

Factor $8$ out of $8 x$ .

$\frac{1}{2} \cdot (8 (x) + 32)$

Factor $8$ out of $32$ .

$\frac{1}{2} \cdot (8 x + 8 \cdot 4)$

Factor $8$ out of $8 x + 8 \cdot 4$ .

$\frac{1}{2} \cdot (8 (x + 4))$

Remove unnecessary parentheses.

$\frac{1}{2} \cdot 8 (x + 4)$

Step 9

Combine $\frac{1}{2}$ and $8$ .

$\frac{8}{2} (x + 4)$

Step 10

Divide $8$ by $2$ .

$4 \cdot (x + 4)$