Solve for x -2(x+5)>=-6

$- 2 (x + 5) \geq - 6$

Step 1

Divide each term in $- 2 (x + 5) \geq - 6$ by $- 2$ and simplify.

Divide each term in $- 2 (x + 5) \geq - 6$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 (x + 5)}{- 2} \leq \frac{- 6}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 (x + 5)}{- 2} \leq \frac{- 6}{- 2}$

Divide $x + 5$ by $1$ .

$x + 5 \leq \frac{- 6}{- 2}$

Simplify the right side.

Divide $- 6$ by $- 2$ .

$x + 5 \leq 3$

Step 2

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

Subtract $5$ from both sides of the inequality.

$x \leq 3 - 5$

Subtract $5$ from $3$ .

$x \leq - 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 2$

Interval Notation:

$(- \infty, - 2]$

Solve for x -2(x+5)>=-6

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