Question

How do you solve for x in `ax = bx -c`?

Answer 1

`x=-c/(a-b)`

Explanation:

`"Collect terms in x on the left side "`

`"subtract "bx" from both sides"`

`ax-bx=-c`

`"take out a "color(blue)"common factor "x`

`x(a-b)=-c`

`"divide both sides by "a-b`

`x=-c/(a-b)`

Answer 2

`x=-c/(a-b)`

Explanation:

If we want to solve for `x`, we can first get all of our `x` terms on one side. This can easily be done by subtracting `bx` from both sides.

We now have

`ax-bx=-c`

Since both terms on the left have an `x` in common, we can factor that out to get

`x(a-b)=-c`

Lastly, we can divide both sides by `a-b` to get

`x=-c/(a-b)`

Hope this helps!