What is the solution set for #-2m + 5 = 2m + 5#?

1 Answer
Jul 27, 2018

Answer:

#{0}#

Explanation:

#-2m + 5 = 2m + 5#

Add #color(blue)(2m)# to both sides:
#-2m quadcolor(blue)(+quad2m) + 5 = 2m quadcolor(blue)(+quad2m) + 5#

#5 = 4m + 5#

Subtract #color(blue)5# from both sides:
#5 quadcolor(blue)(-quad5) = 4m + 5 quadcolor(blue)(-quad5)#

#0 = 4m#

Divide both sides by #color(blue)4#
#0/color(blue)4 = (4m)/color(blue)4#

#0 = m#

Therefore,
#m = 0#

The solution set is #{0}#.