Question

How do you solve `15- 6x = - 3x + 6`?

Answer 1

See a solution process below:

Explanation:

First, add `color(red)(6x)` and subtract `color(blue)(6)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`15 - 6x + color(red)(6x) - color(blue)(6) = -3x + 6 + color(red)(6x) - color(blue)(6)`

`15 - color(blue)(6) - 6x + color(red)(6x) = -3x + color(red)(6x) + 6 - color(blue)(6)`

`9 - 0 = (-3 + color(red)(6))x + 0`

`9 = 3x`

Now, divide each side of the equation by `color(red)(3)` to solve for `x` while keeping the equation balanced:

`9/color(red)(3) = (3x)/color(red)(3)`

`3 = (color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3))`

`3 = x`

`x = 3`