As with any equation, we always want #x# on one side. Therefore we would either #+8x# or #+6x# to cancel out one of the #x's# on any side, depending on what you choose to add. As adding #8x# would make the #-6x# positive I will choose to #+8x#.

#-8x+10=-6x+20 -> 10=2x+20#

As want #x# on its own, we #-20# from both sides, as this would cancel the #+20# on the side with the #x#, getting rid of it. Always remember, what you do to one side, you must do to the other.

#10=2x+20 -> 2x=-10#

To solve an equation like this, we always divide the value by the value of #x's#.

#x=-10/2=-5#

#therefore# #x=-5#