# How do you solve 2(x + 6)>= 3x − 2??

##### 1 Answer
Aug 24, 2015

$x \le 14$

#### Explanation:

$2 \left(x + 6\right) \ge 3 x - 2$

Work the problem as an equation, keeping in mind the direction of the inequality symbol.

Expand the left side.

$2 x + 12 \ge 3 x - 2$

Subtract $2 x$ from both sides.

$12 \ge 3 x - 2 - 2 x$$=$

$12 \ge x - 2$

Add $2$ to both sides.

$12 + 2 \ge x$$=$

$14 \ge x$

Switch sides.

$x \le 14$