How many solutions

2x+4=2 (x+2)

0

1

many

In order to find the number of solutions, we first must solve the equation.

2x+4=2x+4

2x=2x

x=x

When x=x, we can use infinetly many solutions. For example if we try the value x=4, we can input it into the equation.

2 (4) + 4=2 ((4) + 2)

8+4=2 (6)

12=12

Since we got an answer that is true, we can say confidently there are one solutions. This remains true for all real values of x.