Answer:
x = 0
Explanation:
Line segment UV and line segment VW together form line segment UW.
UV + VW = UW
(5 + x) + (6) = (2x + 11)
5 + x + 6 = 2x + 11
x + 11 = 2x + 11
x + 11 - 11 = 2x + 11 - 11
x = 2x
x - x = 2x - x
0 = x
You can also verify the result by substituting x with our result 0.
5 + x + 6 = 2x + 11
5 + (0) + 6 = 2(0) + 11
11 + 0 = 0 + 11
11 = 11
Left side of the equation is the same as the right side of the equation, therefore the result x = 0 is correct.