To solve for x, we need to isolate x in the equation.

First, let's simplify the left side of the equation:

(0,6)^5 + 3x = (0.6)^5 + 3x = 0.07776 + 3x

Now, the equation becomes:

0.07776 + 3x = 125/27

Now, we can solve for x by isolating it:

Subtract 0.07776 from both sides:

3x = 125/27 - 0.07776

3x = 125/27 - 0.07776
3x = 125/27 - 0.07776
3x = (125 - 0.07776*27) / 27
3x = (125 - 2.09952) / 27
3x = 122.90048 / 27
3x = 4.55187

Now divide by 3:

x = 4.55187 / 3
x = 1.51729

So, the solution to the equation is x = 1.51729.