Solve for x -12<2x+8<14

$- 12 < 2 x + 8 < 14$

Move all terms not containing $x$ from the center section of the inequality.

Subtract $8$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 12 - 8 < 2 x < 14 - 8$

Subtract $8$ from $- 12$ .

$- 20 < 2 x < 14 - 8$

Subtract $8$ from $14$ .

$- 20 < 2 x < 6$

Divide each term in the inequality by $2$ .

$\frac{- 20}{2} < \frac{2 x}{2} < \frac{6}{2}$

Divide $- 20$ by $2$ .

$- 10 < \frac{2 x}{2} < \frac{6}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 10 < \frac{2 x}{2} < \frac{6}{2}$

Divide $x$ by $1$ .

$- 10 < x < \frac{6}{2}$

Divide $6$ by $2$ .

$- 10 < x < 3$

The result can be shown in multiple forms.

Inequality Form:

$- 10 < x < 3$

Interval Notation:

$(- 10, 3)$