Graph -4(x+3)<=-2-2x

$- 4 (x + 3) \leq - 2 - 2 x$

Simplify $- 4 (x + 3)$ .

Rewrite.

$0 + 0 - 4 (x + 3) \leq - 2 - 2 x$

Simplify by adding zeros.

$- 4 (x + 3) \leq - 2 - 2 x$

Apply the distributive property.

$- 4 x - 4 \cdot 3 \leq - 2 - 2 x$

Multiply $- 4$ by $3$ .

$- 4 x - 12 \leq - 2 - 2 x$

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

Add $2 x$ to both sides of the inequality.

$- 4 x - 12 + 2 x \leq - 2$

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

$- 2 x - 12 \leq - 2$

Move all terms not containing $x$ to the right side of the inequality.

Add $12$ to both sides of the inequality.

$- 2 x \leq - 2 + 12$

Add $- 2$ and $12$ .

$- 2 x \leq 10$

Divide each term in $- 2 x \leq 10$ by $- 2$ and simplify.

Divide each term in $- 2 x \leq 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} \geq \frac{10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} \geq \frac{10}{- 2}$

Divide $x$ by $1$ .

$x \geq \frac{10}{- 2}$

Simplify the right side.

Divide $10$ by $- 2$ .

$x \geq - 5$

Graph -4(x+3)<=-2-2x

Related Questions

Support LCMGCF.com by disabling your adblocker.