Let's analyze the given figure. Since we are given a triangle with a line that is parallel to one of its sides, we can use the Triangle Proportionality Theorem.
The lengths of the segments intercepted by the parallel line are proportional. Let's write a proportion using the expressions for the lengths of the segments.
5x-8/3x+11 = 2y-1/4y-7
Notice that one of the segments is divided in half. Therefore, 5x-8 = 3x+11. Let's solve this equation to find x.
