Simplify 2(x-8)<10

$2 (x - 8) < 10$

Divide each term in $2 (x - 8) < 10$ by $2$ and simplify.

Divide each term in $2 (x - 8) < 10$ by $2$ .

$\frac{2 (x - 8)}{2} < \frac{10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (x - 8)}{2} < \frac{10}{2}$

Divide $x - 8$ by $1$ .

$x - 8 < \frac{10}{2}$

Simplify the right side.

Divide $10$ by $2$ .

$x - 8 < 5$

Move all terms not containing $x$ to the right side of the inequality.

Add $8$ to both sides of the inequality.

$x < 5 + 8$

Add $5$ and $8$ .

$x < 13$

The result can be shown in multiple forms.

Inequality Form:

$x < 13$

Interval Notation:

$(- \infty, 13)$