Answer:
x = 3
Step-by-step explanation:
The complete question is shown in the attached diagram
Collinear points are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
Therefore:
TV = TU + UV
We are given that:
TV = 14x - 8
TU = 9x + 2
UV = 5
Substitute with the givens in the above mentioned equation and solve for x as follows:
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)