Question

Six less than three times a number is the same as six times the number. Find the number.

Answer 1

Three times a number can be written like this:

$3x$

then, 6 less than three times a number is:

$3x-6$

since this expression is the same as six times the number, we have:

$3x-6=6x$

solving for x, we get the following:

$\begin{gathered} 3x-6=6x \\ \Rightarrow-6=6x-3x=3x \\ \Rightarrow x=-\frac{6}{3}=-2 \\ x=-2 \end{gathered}$

therefore, x = -2