# How do you solve  –5x – 7 < 28?

Aug 13, 2015

Get rid of the constant first, then the coefficient.

#### Explanation:

Let's look at the equation.

$- 5 x - 7 < 28$

We want to solve this inequality step by step.

First, get rid of the constant. In this case, it would be the $7$. We can do this by adding 7 to both sides.

$- 5 x < 35$

Looks a lot easier now! We just multiply both sides by $- 5$ to get the answer.

There's a catch, though. When you multiply both sides of an inequality by a negative coefficient, you have to flip the inequality. So,

$- 5 x < 35$
becomes,
$x > - 7$