To solve the equation 2cos(π/2 - x) - √3 = 0, we need to isolate the cosine term and solve for x.

First, we need to move the square root term to the other side of the equation:
2cos(π/2 - x) = √3

Next, divide both sides by 2:
cos(π/2 - x) = √3/2

Now, we need to find the angle whose cosine is √3/2. This angle is π/6 (π/6 is equivalent to 30 degrees), so we have:
π/2 - x = π/6

Now, solve for x by subtracting π/6 from π/2:
x = π/2 - π/6
x = (3π-π)/6
x = 2π/6
x = π/3

Therefore, the solution to the equation 2cos(π/2 - x) - √3 = 0 is x = π/3.