What is the value of x? enter your answer in the box.

X is equal to 12
Given that all the angles are the same, the triangle has to be equilateral, hence all the sides are the same.
You only need to use two sides:
5x - 22 = 4x - 10
So 5x - 4x = -10 + 22
x = 12
You can double check this by inputing 12 into all the sides
5(12) - 22 = 4(12) - 10 = 3(12) + 2
60 - 22 = 48 - 10 = 36 + 2
38 = 38 = 38
So x = 12

Hope this helps