Let's simplify the equation step by step:

Start by distributing the constants in the brackets:

4×2 - 4×х - 7/9×3/8 + 7/9×36/7×х = 2

Now simplify the expression:

8 - 4x - 1/3 + 4x = 2

Combine like terms:

8 - 1/3 = 2

Now solve for x:

7 2/3 = 2

Since the equation does not balance at this point, it seems there may be an error in the initial calculation. Let's work through it again:

4×(2,5-х)-7/9×(3/8-36/7х)=2

4×(2.5-x)-7/9×(0.375-5.14x)=2

10 - 4x - 0.77777777777 + 3.0303030303x = 2

Combining the constants:

9.22222222 - 0.9696969697x = 2

Simplifying further:

6.22222222 = 0.9696969697x

x = 6.22222222 / 0.9696969697

x = 6.4

Therefore, the correct value of x is 6.4.