Question

How many values of x make 2x + 6 = 2(x+ 3) true

Answer 1

If we solve:

$\begin{gathered} 2x+6=2(x+3) \\ . \\ 2x+6=2x+6 \\ . \\ 2x-2x=6-6 \\ . \\ 0=0 \end{gathered}$

In the situation when an equation is 0 = 0, the equation has infinitely many solutions.

Thus, the answer is: infinite.