Question

Point M is the midpoint of segment AB. If AM = 2x + 5 and MB = 5x – 22, find the value of x.

Answer 1

The answer is x=9

Explanation:

2x+5=5x-22

-3x=-27

x=9

Hence, the answer is x=9

Answer 2

Having point M as midpoint of segment AB, it only shows that the length of AM is equal to the length MB. Hence, AM = MB

AM = MB
2x + 5 = 5x - 22 ⇒ substitute the values
5 + 22 = 5x - 2x ⇒ combine like terms
27 = 3x ⇒ simplify and divide both sides by 3 to get the value of x
x = 9 ⇒ Answer