To solve this equation, we need to find a common denominator for the two fractions on both sides of the equation. In this case, the common denominator is 6.

So, rewrite the equation with the common denominator:

(5-2x)/3 = (x-4)/2

Now multiply both sides of the equation by 6 to eliminate the fractions:

6(5-2x)/3 = 6(x-4)/2
2(5-2x) = 3(x-4)

Now distribute and solve for x:

10 - 4x = 3x - 12
Add 4x to both sides:
10 = 7x - 12
Add 12 to both sides:
22 = 7x
Divide by 7 to solve for x:
x = 22/7

Therefore, x = 22/7.