This problem is about the sum of segments, we just need to understand how to add all of them.
Notice that the segment AB is formed by the sum of AC and CB, as an equation it would be
We know by given that AC=-12x-9, BC=24x+4, and AB=43. Using all these expressions, we have
As you can observe, now we have a linear equation. First, we need to place all terms with a variable on the left side of the equation, and all terms without variables on the right side
Now, we solve each operation
Finally, we divide each part by 12
Therefore, the value of x is
