No it does not. You are subtracting x and 1 from both sides of the equation.
subtract 1 from both the sides:
that leaves you with:
now you subtract x from both the sides. this gives you:
which gives you:
therefore
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Note:
In the first box, you are subtracting x from -5x. In the second box, you are adding x to -5x. This is where your confusion lies.
If you still dont understand it, please refer to your books/notes/instructor to avoid trouble in the future.
Please refer to post Number 2 by
Unknown008
your question was
then
Unknown008's method (which you've been told multiple number of times) takes you :
multiplying both sides of this equation by

.gives you:

.
Have fun!