Solve for x over the real numbers:
abs(x-14) = abs(x+15)
abs(x-14) = abs(x+15) if and only if x-14 = x+15 or x-14 = -15-x:
x-14 = x+15 or x-14 = -15-x
Subtract x-14 from both sides:
0 = 29 or x-14 = -15-x
0 = 29 is trivially false:
x-14 = -15-x
Add x+14 to both sides:
2 x = -1
Divide both sides by 2:
Answer: | x = -1/2
