Consider the equation

3 (4x - 2) + 6 = 5 (2x - 8) + 2

>

(Solve for x first!)

Below are two truths and one lie:

>

1. x is a negative number

2. 3x>2x

3. x+5>x

-19

Step-by-step explanation:

12x - 6 + 6 = 10x - 40 + 2

12x - 10x = - 40 + 2 + 6 - 6

2x = - 38

x = - 38/2 = - 19

The two truths are:

x is a negative number (x = - 19)

x+5>x (if x is positive, is true; if x is negative, is also true)

The one lie is:

3x > 2x (if x is negative, the expression will be 3x < 2x)