Question

How do you solve `3(x-1) = 3x`?

Answer 1

There is no solution.

Explanation:

`3(x-1) = 3x " remove the brackets"`

`3x-3 = 3x " the alarm bells should start ringing!"`

The `3x` on each side is the same, but one side has something else as well? HOw can they be equal? Let' carry on anyway!

`3x - 3x = 3`

`0 =3" this is obviously False, but there is no "x`

There is no possible solution to this equation.
No
matter what value we choose for `x`, the `x` terms will cancel, but the two sides will never be equal.