Answer:
AM=26
Step-by-step explanation:
Since M is the midpoint of the number line, this means that each side is equal to each other. The midpoint evenly splits it up in half, and since each side is equal that means we can set up an equation making x+20 and 5x-4 the same value.
x+20 = 5x-4
Now you simply carry over, so that x is all by itself. I carried the -4 to the other side first. To carry it over you have to add 4 on both sides, leaving this:
x+24=5x
Then I carried the x to the other side by subtracting -x (or if it helps, imagine an invisible one next to the x so it would be -1x) on both sides.
This gives me: 24=4x
Now that all the x's are by themelves, we can divide 24 by 4 to get our x value:
6=x
Now all we need to do is plug that in for the length of AM:
6+20, which equals our final answer 26
I hope you found this helpful :)
