Question 17321
In your first step you lost an x.  It should be
-5x - 1 = 6x + 54


The next step is to get all the x terms on one side.  You do this by getting rid or "undo"ing the x terms on one side.  Since you have a +6x on the right side, you can undo the +6x by subtracting 6x from each side:
-5x - 6x - 1 = 6x -6x + 54

-11x -1 = 54


Now, you have all the x-terms on the left side, you should get all the number terms to the opposite side.  You need to undo the -1, by adding +1 to each side.

-11x -1+1 = 54 +1
-11x = 55


Finally, you need to undo the multiplication by the -11.  You do this by dividing both sides by -11.


{{{(-11x)/(-11)= 55/(-11)}}}
{{{x= -5}}}


See my lesson plan called Equation Solving in algebra.com.  This Lesson Plan comes from my book Basic Algebra: One Step at a Time. 


R^2 at SCC