To solve the equation, we need to isolate the variable x.

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

5.2^3 = 5.2 * 5.2 * 5.2 = 140.608

Now, let's rewrite the equation:

2x - 14 = 140.608

Next, let's isolate the variable x by adding 14 to both sides of the equation:

2x = 140.608 + 14
2x = 154.608

Finally, divide both sides of the equation by 2 to solve for x:

x = 154.608 / 2
x = 77.304