Solve for x -10<-2+8x<22

$- 10 < - 2 + 8 x < 22$

Step 1

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

Add $2$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 10 + 2 < 8 x < 22 + 2$

Add $- 10$ and $2$ .

$- 8 < 8 x < 22 + 2$

Add $22$ and $2$ .

$- 8 < 8 x < 24$

Step 2

Divide each term in the inequality by $8$ .

$\frac{- 8}{8} < \frac{8 x}{8} < \frac{24}{8}$

Step 3

Divide $- 8$ by $8$ .

$- 1 < \frac{8 x}{8} < \frac{24}{8}$

Step 4

Cancel the common factor of $8$ .

Cancel the common factor.

$- 1 < \frac{8 x}{8} < \frac{24}{8}$

Divide $x$ by $1$ .

$- 1 < x < \frac{24}{8}$

Step 5

Divide $24$ by $8$ .

$- 1 < x < 3$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 1 < x < 3$

Interval Notation:

$(- 1, 3)$

Step 7