Solve for x 2x-12<6

$2 x - 12 < 6$

Step 1

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

Add $12$ to both sides of the inequality.

$2 x < 6 + 12$

Add $6$ and $12$ .

$2 x < 18$

Step 2

Divide each term in $2 x < 18$ by $2$ and simplify.

Divide each term in $2 x < 18$ by $2$ .

$\frac{2 x}{2} < \frac{18}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{18}{2}$

Divide $x$ by $1$ .

$x < \frac{18}{2}$

Simplify the right side.

Divide $18$ by $2$ .

$x < 9$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 9$

Interval Notation:

$(- \infty, 9)$