There is NO SOLUTION to this equation as you can't solve what is inside the absolute value signs. The 2x and 5 cant be combined like terms as 5 doesn't have an x attached to it.
Think of absolute value as distance to a certain point on a number line. it can go either right or left, so it can be both positive and negative 2x+5=9, or 2x+5=-9 now solve both equations: 2x=4 or 2x=-14 x=2 or x=-7