To solve the equation 5/12|x| - 3.8 + 1/9|x| = 0, we first need to combine the terms involving |x|.

5/12|x| + 1/9|x| = 3.8

To combine the fractions, we need to find a common denominator. The least common multiple of 12 and 9 is 36, so we rewrite the fractions with the common denominator:

(5/12)x(3) + (1/9)x(4) = 3.8

Now, we can simplify and solve for x:

(15/36)x + (4/36)x = 3.8

(19/36)x = 3.8

x = (3.8) / (19/36)

x = (3.8) * (36/19)

x = 7.2

Therefore, x = 7.2 is the solution to the equation 5/12|x| - 3.8 + 1/9|x| = 0.