How do you solve 3x - 5< - 2( x - 6) - 2?

Sep 11, 2017

$x < 3$

Explanation:

$3 x - 5 < - 2 \left(x - 6\right) - 2 \text{ }$ (expand brackets)

$3 x - 5 < - 2 x + 12 - 2 \text{ }$ ($- 2$ from $12$)

$3 x - 5 < - 2 x + 10 \text{ }$ ($+ 2 x$ on BS)

$5 x - 5 < 10 \text{ }$ ($+ 5$ on BS)

$5 x < 15 \text{ }$ ($\div 3$ on BS)

$x < 3$

-Fish