Question

How do you solve `2+ 6x = 2+ x`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(2)` and `color(blue)(x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`2 - color(red)(2) + 6x - color(blue)(x) = 2 - color(red)(2) + x - color(blue)(x)`

`0 + 6x - color(blue)(1x) = 0 + 0`

`(6 - color(blue)(1))x = 0`

`5x = 0`

Now, divide each side of the equation by `color(red)(5)` to solve for `x` while keeping the equation balanced:

`(5x)/color(red)(5) = 0/color(red)(5)`

`(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 0`

`x = 0`