Solve for x -7<=2x+9<=17

$- 7 \leq 2 x + 9 \leq 17$

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

Subtract $9$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 7 - 9 \leq 2 x \leq 17 - 9$

Subtract $9$ from $- 7$ .

$- 16 \leq 2 x \leq 17 - 9$

Subtract $9$ from $17$ .

$- 16 \leq 2 x \leq 8$

Divide each term in the inequality by $2$ .

$\frac{- 16}{2} \leq \frac{2 x}{2} \leq \frac{8}{2}$

Divide $- 16$ by $2$ .

$- 8 \leq \frac{2 x}{2} \leq \frac{8}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 8 \leq \frac{2 x}{2} \leq \frac{8}{2}$

Divide $x$ by $1$ .

$- 8 \leq x \leq \frac{8}{2}$

Divide $8$ by $2$ .

$- 8 \leq x \leq 4$

The result can be shown in multiple forms.

Inequality Form:

$- 8 \leq x \leq 4$

Interval Notation:

$[- 8, 4]$