Hello there!
6 - 2x > 2x + 26
Let's start by subtracting 2x from both sides
6 - 2x - 2x > 2x - 2x + 26
-4x + 6 > 26
Then add -6 to both sides
-4x + 6 - 6 > 26 - 6
-4x > 20
Divide both sides by -4
-4x/-4 > 20/-4
x < -5
As you can see, I change the sign. The reason is because whenever you divide both sides by a negative sign, you MUST change the sign.
The answer is -5
See picture bellow for the graph!
I hope this answer helps, and please let me know if you have questions about the answer.
As always, I am glad to be your helper to night!