A process consists of at least one thread (think of the main function). Multi threaded code will just spawn more threads. Mutexes are used to create locks around shared resources to avoid data corruption / unexpected / unwanted behaviour. Basically it provides for sequential execution in an asynchronous setup - the requirement for which stems from non-const non-atomic operations on shared data structures.
A vivid description of what mutexes would be the case of people (threads) queueing up to visit the restroom (shared resource). While one person (thread) is using the bathroom easing him/herself (non-const non-atomic operation), he/she should ensure the door is locked (mutex), otherwise it could lead to being caught in full monty (unwanted behaviour)