To solve this equation, we need to first convert the mixed number to an improper fraction.

4 2/3 = (3*4 + 2)/3 = 14/3

Now we can rewrite the equation as:

2.5x = 14/3

Next, we can solve for x by dividing both sides by 2.5:

x = (14/3) / 2.5
x = (14/3) (1/2.5)
x = 14 / (3 2.5)
x = 14 / 7.5
x = 1.86666667

So, the solution to the equation is x ≈ 1.87.