To solve for x, we first need to simplify the right side of the equation:

2/3 + (-1/7) = 2/3 - 1/7
To add these fractions, we need to find a common denominator, which in this case is 21:

2/3 = 14/21
1/7 = 3/21

Therefore, 2/3 - 1/7 = 14/21 - 3/21 = 11/21

Now, the equation becomes:

x/3 = 11/21

To solve for x, we multiply both sides of the equation by 3:

x = (11/21) * 3
x = 33/21
x = 1.57

Therefore, the solution to the equation x/3 = 2/3 + (-1/7) is x = 1.57.