Graph -2(x+6)>-4x

$- 2 (x + 6) > - 4 x$

Simplify $- 2 (x + 6)$ .

Start simplifying.

$0 + 0 - 2 (x + 6) > - 4 x$

Simplify by adding zeros.

$- 2 (x + 6) > - 4 x$

Apply the distributive property.

$- 2 x - 2 \cdot 6 > - 4 x$

Multiply $- 2$ by $6$ .

$- 2 x - 12 > - 4 x$

Move all terms containing $x$ to the left side of the inequality.

Add $4 x$ to both sides of the inequality.

$- 2 x - 12 + 4 x > 0$

Add $- 2 x$ and $4 x$ .

$2 x - 12 > 0$

Add $12$ to both sides of the inequality.

$2 x > 12$

Divide each term in $2 x > 12$ by $2$ and simplify.

Divide each term in $2 x > 12$ by $2$ .

$\frac{2 x}{2} > \frac{12}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{12}{2}$

Divide $x$ by $1$ .

$x > \frac{12}{2}$

Simplify the right side.

Divide $12$ by $2$ .

$x > 6$