Solve for x 0<(x-2)/8<2

$0 < \frac{x - 2}{8} < 2$

Step 1

Multiply each term in the inequality by $8$ .

$0 \cdot 8 < \frac{x - 2}{8} \cdot 8 < 2 \cdot 8$

Step 2

Multiply $0$ by $8$ .

$0 < \frac{x - 2}{8} \cdot 8 < 2 \cdot 8$

Step 3

Cancel the common factor of $8$ .

Cancel the common factor.

$0 < \frac{x - 2}{8} \cdot 8 < 2 \cdot 8$

Rewrite the expression.

$0 < x - 2 < 2 \cdot 8$

Step 4

Multiply $2$ by $8$ .

$0 < x - 2 < 16$

Step 5

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.

$0 + 2 < x < 16 + 2$

Add $0$ and $2$ .

$2 < x < 16 + 2$

Add $16$ and $2$ .

$2 < x < 18$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$2 < x < 18$

Interval Notation:

$(2, 18)$

Step 7