Looking at the markings on the given diagram, we can see that MR bisects ∠ M and LR bisects ∠ L.
Therefore, we know that these segments are angle bisectors and that they intersect at the triangle's incenter. According to the Concurrency of Angle Bisectors Theorem, the incenter of a triangle is equidistant from the sides of the triangle.
RS = RT
Now that we know that these segments have equal lengths, we can equate the given expressions for RS and RT to solve for x.