Simplify -2(x_5+4x_2-6x+2(x_3))

$- 2 (x_{5} + 4 x_{2} - 6 x + 2 (x_{3}))$

Step 1

Apply the distributive property.

$- 2 x_{5} - 2 (4 x_{2}) - 2 (- 6 x) - 2 (2 x_{3})$

Step 2

Simplify.

Multiply $4$ by $- 2$ .

$- 2 x_{5} - 8 x_{2} - 2 (- 6 x) - 2 (2 x_{3})$

Multiply $- 6$ by $- 2$ .

$- 2 x_{5} - 8 x_{2} + 12 x - 2 (2 x_{3})$

Multiply $2$ by $- 2$ .

$- 2 x_{5} - 8 x_{2} + 12 x - 4 x_{3}$

Step 3

Move $12 x$ .

$- 2 x_{5} - 8 x_{2} - 4 x_{3} + 12 x$