Question

How do you solve for x in `5ax-c=4c+ax`?

Answer 1

`x=(5c)/(4a`

Explanation:

`1`. Group all like terms together. Start by subtracting `ax` from both sides of the equation.

`5ax-c=4c+ax`

`5ax` `color(red)(-ax)-c=4c+ax` `color(red)(-ax)`

`4ax-c=4c`

`2`. Continue grouping all like terms together by adding `c` to both sides.

`4ax-c` `color(blue)(+c)=4c` `color(blue)(+c)`

`4ax=5c`

`3`. Isolate for `x` by dividing both sides by `4a`.

`(4ax)/color(darkorange)(4a)=(5c)/color(darkorange)(4a)`

`color(green)(|bar(ul(color(white)(a/a)x=(5c)/(4a)color(white)(a/a)|)))`