The Displacement of Moving Sinusoidal Wave with k in the -x direction equation calculates the displacement of a sinusoidal wave with a wave number, k, and angular frequency omega and also moving in the negative x direction.
Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 494, eq 15.8