Solve for x -4<=2x-8<16

$- 4 \leq 2 x - 8 < 16$

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

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

$- 4 + 8 \leq 2 x < 16 + 8$

Add $- 4$ and $8$ .

$4 \leq 2 x < 16 + 8$

Add $16$ and $8$ .

$4 \leq 2 x < 24$

Divide each term in the inequality by $2$ .

$\frac{4}{2} \leq \frac{2 x}{2} < \frac{24}{2}$

Divide $4$ by $2$ .

$2 \leq \frac{2 x}{2} < \frac{24}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \leq \frac{2 x}{2} < \frac{24}{2}$

Divide $x$ by $1$ .

$2 \leq x < \frac{24}{2}$

Divide $24$ by $2$ .

$2 \leq x < 12$

The result can be shown in multiple forms.

Inequality Form:

$2 \leq x < 12$

Interval Notation:

$[2, 12)$