Solve and state the solution. If it has one, state the solution

Question

4(2x + 1) = 8x + 4 # of solutions?

3x + 13 = -11 - 9x # of solutions?

Answer 1

In the first one expand the left side to see that the left and right side are exactly the same. Therefore, any value of x maintains equality, i.e. "infinitely many" solutions. In my opinion this is a silly (but true) way of thinking and describing a trivial situation.

3x + 13 = -11 - 9x

9x - 13 to each side

12x = -24

x = -2 (single solution)