Answer : x = 10
In a triangle, the angles add up to 180 degrees. 46 + (8x-2) must be equal to 11x + 14, as angles on a straight line also equal to 180 and therefore 180 - (11x + 14) is the missing interior angle on the triangle. (angle ABC + angle BAC = angle BCD)
Using these substitutions, we can calculate x.
(8x - 2) + 46 = (11x + 14)
(80 - 2) + 46 = (110+14)