Solve for x: 2/3(x - 2) = 4x.
-2/5, -5/2, 2/5, 5

Solution:

The equation is a simple linear equation in variable x. Solving for x we have:

2(x - 2)/3 = 4x

2x/3 - 4/3 = 4x

-4/3 = 4x - 2x/3

-4/3 = (12x - 2x)/3

-4/3 = 10x/3

⇒ x = -2/5

Therefore, the value of x for the given equation 2/3(x - 2) = 4x is x = -2/5

Solve for x: 2/3 (x - 2) = 4x.

Summary:

The value of x for the given equation 2/3 (x - 2) = 4x is x = -2/5