Answer:
x=27
Explanation:
Solve by using similar triangles
We can see that the two triangles are similar due to the markings on angle A and they have a ratio of 10:14=5:7 or 5/7
So we can use that information to set the two sides with x equal to the ratio between the two triangles and then solve for x
x+8/2x-5=5/7 now we cross multiply
7x+56=10x-25 now subtract -7x and add 25 to both sides to get all x terms on one side
3x=81 divide by 3 to isolate x by itself and solve
x=81/3=27
x=27
Any questions please feel free to ask and I will gladly explain. Thank you