How do you solve #-1+ 7x = 8x - 2#?

1 Answer
Sep 21, 2017

#x=1#

Explanation:

#-1 + 7x = 8x - 2#
I always make sure I put the variable in front to lead the equation. So here it is..
#7x - 1 = 8x - 2#
Next, subtract #color(red)(8x)# from both sides
#7x - 1 color(red)(-8x) = 8x - 2 color(red)(-8x)#
#-x - 1 = -2#
Then transfer #-1# to the right side to match the its common term.
#-x = -2+1#
#-x = -1#
Finally, divide both sides by #-1#
#(-x)/(-1) = (-1)/(-1#
#x = 1#