To solve this equation, we need to first distribute the 2 on the right side of the equation:

3/4 + 2*(2x) - 2/3 = 2

Next, simplify the equation by multiplying 2 with 2x:

3/4 + 4x - 2/3 = 2

Now, we need to get rid of the fractions by finding a common denominator. The common denominator for 4 and 3 is 12:

9/12 + 16x/12 - 8/12 = 2

Combine the fractions:

(9 + 16x - 8)/12 = 2

Simplify the numerator:

(1 + 16x)/12 = 2

Now, multiply both sides by 12 to get rid of the denominator:

1 + 16x = 24

Subtract 1 from both sides:

16x = 23

Divide by 16:

x = 23/16

Therefore, the solution to the equation is x = 23/16.