Point B is on line segment AC. If AB = x + 6, BC = x + 8 and AC = 10, then find the value of x.

Step-by-step explanation:
this simply means that the sum of both short segments must be the same as the length of the whole line.
so,
x + 6 + x + 8 = 10
2x + 14 = 10
x + 7 = 5
x = 5 - 7 = -2