Let's solve each equation step by step:

1) 2.X-2023^0=3^5:3^3

Since any number raised to the power of 0 is equal to 1, we can simplify the equation:

2.X - 1 = 3^5 / 3^3

Using the rule of exponents that states a^m / a^n = a^(m-n), we can simplify further:

2.X - 1 = 3^(5-3)

2.X - 1 = 3^2

2.X - 1 = 9

Adding 1 to both sides:

2.X = 10

Dividing both sides by 2:

X = 5

Therefore, the solution to this equation is X = 5.

2) 2^2.(X+3^2)-5.55

First, let's simplify the expression within the parentheses:

X + 3^2 = X + 9

Now, substitute this back into the original equation:

2^2.(X+9) - 5.55

Simplifying further:

4(X+9) - 5.55

Distributing the 4:

4X + 36 - 5.55

Combining like terms:

4X + 30.45

Therefore, the simplified expression is 4X + 30.45.

3) 140:(9xx-5)=2^2.5^2-20

Let's solve this equation step by step:

First, simplify the right side of the equation:

2^2.5^2 - 20

Using the rule of exponents, we have:

4.25 - 20

Now, simplify further:

-15.75

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

140 / (9xx-5)

Since we don't know the value of xx, we cannot simplify this expression any further.

Therefore, the equation remains as:

140 / (9xx-5) = -15.75