# How do you solve 3x + 2< 5( x - 4)?

Apr 12, 2018

$x > 11$

#### Explanation:

To just solve the equation for x, just do:

First, Distribute the $5 \left(x - 4\right)$
$5 x - 20$

Second, from $3 x + 2 < 5 x - 20$, add 20 to the other side of the '<' and then subtract 3x to the other side where -20 was. Therefore, you would have: $22 < 2 x$.

Finally, simply divide 2 on each side of the equation and you would get: $11 < x$ or $x > 11$.