Factor 5(x-6)-10(x-6)+12(x-6)

$5 (x - 6) - 10 (x - 6) + 12 (x - 6)$

Step 1

Apply the distributive property.

$5 x + 5 \cdot - 6 - 10 (x - 6) + 12 (x - 6)$

Step 2

Multiply $5$ by $- 6$ .

$5 x - 30 - 10 (x - 6) + 12 (x - 6)$

Step 3

Apply the distributive property.

$5 x - 30 - 10 x - 10 \cdot - 6 + 12 (x - 6)$

Step 4

Multiply $- 10$ by $- 6$ .

$5 x - 30 - 10 x + 60 + 12 (x - 6)$

Step 5

Apply the distributive property.

$5 x - 30 - 10 x + 60 + 12 x + 12 \cdot - 6$

Step 6

Multiply $12$ by $- 6$ .

$5 x - 30 - 10 x + 60 + 12 x - 72$

Step 7

Subtract $10 x$ from $5 x$ .

$- 5 x - 30 + 60 + 12 x - 72$

Step 8

Add $- 5 x$ and $12 x$ .

$7 x - 30 + 60 - 72$

Step 9

Add $- 30$ and $60$ .

$7 x + 30 - 72$

Step 10

Subtract $72$ from $30$ .

$7 x - 42$

Step 11

Factor $7$ out of $7 x - 42$ .

Factor $7$ out of $7 x$ .

$7 (x) - 42$

Factor $7$ out of $- 42$ .

$7 x + 7 \cdot - 6$

Factor $7$ out of $7 x + 7 \cdot - 6$ .

$7 (x - 6)$

$7 (x - 6)$

Related Questions