Final answer:
To solve for x, we use the equation 5x + 3 = 28 derived from the line segment lengths AB, BC, and AC. Subtracting 3 from both sides gives 5x = 25, and dividing by 5 results in x = 5.
Step-by-step explanation:
The problem presents a situation where the lengths of segments AB, BC, and AC are given, and we need to find the value of x when AB is equal to 5x, BC is equal to 3, and AC is equal to 28. This problem involves understanding the properties of a line segment.
Since AB + BC = AC, we can set up an equation: 5x + 3 = 28. To solve for x, we first subtract 3 from both sides, which gives us 5x = 25. Then we divide both sides by 5, resulting in x being equal to 5.