The equation that represents the given real-world problem is:
x + 129 = 468
Here, \( x \) represents the height that Cheyenne's brother climbed, and according to the information provided, Cheyenne climbed 129 feet more than her brother, who climbed \( x \) feet. Thus, you'd add 129 to \( x \) to equal Cheyenne's height of 468 feet.