Hello there!
-4(2x + 5) + 34 > 4(-x + 3) - 2x
We need to use the distributive form
(-4)(2x) + (-4)(5) + 34 > (4)(-x) + (4)(3) - 2x
-8x - 20 + 34 > -4x + 12 - 2x
-8x + 14 > -6x + 12
Add -14 on both sides
-8x + 14 - 14 > -6x + 12 - 14
-8x > -6x - 2
Add 6x on both sides
-8x + 6x > -6x + 6x - 2
-2x > -2
Divide both sides by -2
(-2x)/-2 > -2/-2
Since we divided by a negative number, we must change this > to this < got it?
Thus,
The answer is x < 1
I really hope this helps!
As always, it is my pleasure to help people like you!