Question 643855
AC = AB + BC


AC = (14x + 25) + (11x - 31)


AC = 14x + 25 + 11x - 31


AC = 25x - 6


So we need to know the length of AC to know the value of x.


If AB = BC, then...


14x + 25 = 11x - 31


14x - 11x = -31 - 25


3x = -56


x = -56/3


Now use this x value to find AC


Note: x = -56/3 only if AB = BC