The part of the problem on the left #color(red)(355-9x)# is going to be in the color red. The part of the problem on the right #color(blue)(229+12x)# is going to be done in the color blue. The #color(purple)(answer)# will be in the color purple.
Lets start off with writing the problem
#color(red)(355-9x)##color(green)(=)# #color(blue)(229+12x)#
First lets add #color(orange)(9x)# to each side.
#color(red)(355-9x+)# #color(orange)(9x)# #color(green)(=)# #color(blue) (229+12x+)# #color(orange)(9x)#
This will change the problem to
#color(red)(355)# #color(green)(=)# #color(blue)(229+21x)#
The next thing we are going to do is subtract #color(orange)(229)# from both sides.
#color(red)(355-)# #color(orange)(229)# #color(green)(=)# #color(blue)(229+21x-)# #color(orange)(229)#
This will now give you the problem
#color(red)(126)# #color(green)(=)# #color(blue)(21x)#
The last step is to divide both sides by #color(orange)(21)#
#color(red)(126-:)# #color(orange)(21)# #color(green)(=)# #color(blue)(21x-:)# #color(orange)(21)#
This will give you your last and final answer of
#color(purple)(x=6)#
