Solve the Inequality for x x-12<-2x

$x - 12 < - 2 x$

Step 1

Move all terms containing $x$ to the left side of the inequality.

Add $2 x$ to both sides of the inequality.

$x - 12 + 2 x < 0$

Add $x$ and $2 x$ .

$3 x - 12 < 0$

Step 2

Add $12$ to both sides of the inequality.

$3 x < 12$

Step 3

Divide each term in $3 x < 12$ by $3$ and simplify.

Divide each term in $3 x < 12$ by $3$ .

$\frac{3 x}{3} < \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} < \frac{12}{3}$

Divide $x$ by $1$ .

$x < \frac{12}{3}$

Simplify the right side.

Divide $12$ by $3$ .

$x < 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 4$

Interval Notation:

$(- \infty, 4)$