CPM Homework Help : CCG Problem 1-56

The distance along a straight road is measured as shown in the diagram below. If the distance between towns $\text{A}$ and $\text{C}$ is $67$ miles, find the distance between towns $\text{A}$ and $\text{B}$ .

A line segment, A C, is divided into 2 sections with dividing point, B. The section, A B, is labeled, 5 x minus 2. The section, B C, is labeled, 2 x + 6.

Hint:

$5x-2+2x+6=67$