# How do you solve #-x < - x + 7(x - 2)#?

##### 1 Answer

Oct 5, 2016

First, work out the parentheses (PEMDAS sequence), then combine similar terms (variables and constants).

#### Explanation:

−x < −x+7x−14 ; −x < 6x−14 ; -7x < -14 *(dividing by a negative reverses the inequality!)* ; x > 2

**CHECK!** : If x = 4 (>2): −4 < −4 + 7(4−2) ; -4 < -4 + 7(2)

-4 < -4 + 14 ; **-4 < 10 Correct!**