To determine the value of `x` that makes the equation true, let's solve it step by step.
Equation: (4/3)x = (10/3)
To isolate `x`, we need to get rid of the coefficient (4/3) multiplying `x`. We can do this by multiplying both sides of the equation by the reciprocal of (4/3), which is (3/4).
(3/4) * (4/3) * x = (3/4) * (10/3)
On the left side, (4/3) and (3/4) cancel each other out, leaving us with just `x`:
x = (3/4) * (10/3)
Multiplying the numerators and denominators:
x = 30/12
Simplifying the fraction:
x = 5/2
Therefore, the value of `x` that makes the equation true is 5/2.