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The solution by @MathLover1 is INCORRECT.
I came to bring the correct solution.
This transcendent equation CAN NOT be solved algebraically.
It only can be solved approximately using numerical methods.
There are specialized numerical solvers for such problems.
You can use an online (free of charge) solver at web-site
https://www.wolframalpha.com/widgets/view.jsp?id=a7d8ae4569120b5bec12e7b6e9648b86
Input the function x-sin(x) - into the solver's input window and press the "Submit" button.
In seconds, you will obtain the solution x = 1.77851 radians,
even with the accompanied plot.
This solution is UNIQUE.
Solved.