Given a line segment that contains the points a, b, & c in order, and given that b is the midpoint of ac, if ab = 2x - 5, and bc = x + 7, find x.

x=12

Step-by-step explanation:

Midpoint B of segment AC creates both equal segments AB and BC. The midpoint halves out AC therefore AB=BC

The equation would look like 2x-5=x+7 where you want to isolate x fully. First you want to add 5 on both sides of the equation so that you get 2x=x+12. Next subtract x from both sides of the equation to then get x=12.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.