To solve this equation, we first need to distribute the 2/7 on the left side and the -5/7 on the right side.

2/7 4x - 2/7 5 = 8 - 5/7 x + 5/7 2

8/7x - 10/7 = 8 - 5/7x + 10/7

Next, we combine like terms and simplify the equation:

8/7x + 5/7x = 8 + 10/7 + 10/7 - 10/7

13/7x = 8 + 10/7

Now, we need to combine the fractions:

13/7x = 56/7 + 10/7

13/7x = 66/7

Finally, we can isolate x by multiplying both sides by 7/13:

x = (66/7) * (7/13)

x = 66/13

x = 5

Therefore, the solution to the equation is x = 5.