To solve the equation 2/5 x 4 = 2x, we will first simplify the left side of the equation.
1. Start by multiplying 2/5 and 4:
(2/5) * 4 = 8/5
Now, our equation looks like this:
8/5 = 2x
2. Next, to isolate x, we will divide both sides of the equation by 2:
x = (8/5) / 2
3. This simplifies to:
x = 8/10, which can be further simplified to x = 4/5.
Thus, the solution to the equation is x = 4/5.