To solve for x in the equation 2.6x = 7.6x - 0.06 = 4.02, we need to simplify the equation first.

First, let's combine the terms on the right side of the equation:

7.6x - 0.06 = 4.02

Next, let's subtract 7.6x from both sides:

7.6x - 7.6x - 0.06 = 4.02 - 7.6x

-0.06 = 4.02 - 7.6x

Now, let's subtract 4.02 from both sides:

-0.06 - 4.02 = 4.02 - 4.02 - 7.6x

-4.08 = -7.6x

Finally, divide by -7.6 to solve for x:

x = -4.08 / -7.6

x = 0.5378947368421053

Therefore, x is approximately 0.538.