How many values of x make each statement true? Explain your reasoning.

a) 3x+3=3(x+1)
b) x-4-x=0

I don't get what the question is telling me to do.
Help?

3 answers

In (a), all values of x make the statement true, because both sides of the equation are actually the same: if you expand the right-hand side, you'll see that all it's saying is that 3x+3=3x+3, so any value of x you care to choose will make that statement true.

In (b), no value of x will make the statement true, because the two x's cancel each other out, leaving you with the statement that -4=0, which is false. There's no value of x you can put into that equation that will make it true.
pkn
What property is shown in the equation below?

-43 รท (-1) = 43