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

Aug 7, 2015

#### Answer:

$x > - 3$

#### Explanation:

Given $3 \left(x + 2\right) > x$

Inequalities can be solved as if they were equalities
except that multiplication or division by a negative value will reverse the inequality sign.

Simplify the left side:
$\textcolor{w h i t e}{\text{XXXX}}$$3 x + 6 > x$

Subtract $x$ from both sides
$\textcolor{w h i t e}{\text{XXXX}}$$2 x + 6 > 0$

Subtract 6 from both sides:
$\textcolor{w h i t e}{\text{XXXX}}$$2 x > - 6$

Divide both sides by 2
$\textcolor{w h i t e}{\text{XXXX}}$$x > - 3$