To solve this equation, we need to first simplify both sides of the equation.

Starting with the left side:

5.8x - 40.1 / 0.8
= 5.8x - 50.125
= 5.8x - 50.125

Now simplify the right side:

3.2x - 23.9 / -2.4
= 3.2x + 9.95833333333..
= 3.2x + 9.96

Now, the equation becomes:

5.8x - 50.125 = 3.2x + 9.96

Next, isolate the variable x by moving all the x terms to one side of the equation:

5.8x - 3.2x = 9.96 + 50.125
2.6x = 60.085
x = 60.085 /2.6
x = 23.0576923077

Therefore, x = 23.0576923077.