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