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

$- 2 (2 x - 2) + 5 > - 5 x - 6$

Step 1

Simplify $- 2 (2 x - 2) + 5$ .

Simplify each term.

Apply the distributive property.

$- 2 (2 x) - 2 \cdot - 2 + 5 > - 5 x - 6$

Multiply $2$ by $- 2$ .

$- 4 x - 2 \cdot - 2 + 5 > - 5 x - 6$

Multiply $- 2$ by $- 2$ .

$- 4 x + 4 + 5 > - 5 x - 6$

Add $4$ and $5$ .

$- 4 x + 9 > - 5 x - 6$

Step 2

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

Add $5 x$ to both sides of the inequality.

$- 4 x + 9 + 5 x > - 6$

Add $- 4 x$ and $5 x$ .

$x + 9 > - 6$

Step 3

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

Subtract $9$ from both sides of the inequality.

$x > - 6 - 9$

Subtract $9$ from $- 6$ .

$x > - 15$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 15$

Interval Notation:

$(- 15, \infty)$