Explain how you know that the equations 1/4=2x and 1/4/x=2have the same solution

the equations 1/4=2x and 1/4/x=2have the same solution

because 1 / 4 / x = 2 can be simplified to

1 / 4 = 2x which is the same with the first equation

Solve for x = 1/8

Then substitute it to the both equation

¼ = 2 (¼)

¼ = ¼

2nd equation

1 / 4 / (1/8) = 2

2 = 2