<h3>
Answer: Choice D</h3>
Here's why:
The 4 and 8 on the left side combine to 12. The 5x and -3x on the right hand side combine to 2x.
This means the equation for choice D becomes 2x+12 = 2x-12
From here, subtract 2x from both sides. Doing so will cancel each copy of 2x and the x terms go away entirely. We're left with 12 = -12 which is a false statement since we don't have the same number on both sides. We have a contradiction instead, so there are no solutions here.
No matter what we replace x with in equation D, it will always be false.
If you graphed y = 2x+12 and y = 2x-12, you would find that the lines are parallel. Parallel lines never intersect. Intersection points are solution points, so this is a visual way to see that we don't have any solutions.
