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

Jul 18, 2016

There is no solution.

#### Explanation:

$3 \left(x - 1\right) = 3 x \text{ remove the brackets}$

$3 x - 3 = 3 x \text{ the alarm bells should start ringing!}$

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

$3 x - 3 x = 3$

$0 = 3 \text{ this is obviously False, but there is no } x$

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.