Question #00c10

2 Answers
Sep 30, 2017

#x=9#

Explanation:

First, we add #12# to both sides

#17x-12color(blue)+color(blue)12=114+3xcolor(blue)+color(blue)12->#
#17x=3x+126#

Then we subtract #3x# from both sides:

#17xcolor(blue)-color(blue)3color(blue)x=3x+126color(blue)-color(blue)3color(blue)x->#
#14x=126#

Divide both sides by #14#:

#(14x)/14=126/14#
Simplify:
#x=9#

Sep 30, 2017

See a solution process below:

Explanation:

First, add #color(red)(12)# and subtract #color(blue)(3x)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#17x - 12 + color(red)(12) - color(blue)(3x) = 114 + 3x + color(red)(12) - color(blue)(3x)#

#17x - color(blue)(3x) - 12 + color(red)(12) = 114 + color(red)(12) + 3x - color(blue)(3x)#

#(17 - color(blue)(3))x - 0 = 126 + 0#

#14x = 126#

Now, divide each side of the equation by #color(red)(14)# to solve for #x# while keeping the equation balanced:

#(14x)/color(red)(14) = 126/color(red)(14)#

#(color(red)(cancel(color(black)(14)))x)/cancel(color(red)(14)) = 9#

#x = 9#