Question

Question #00c10

Answer 1

`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`

Answer 2

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`