To solve the equation -2/3 - x = 1, we need to isolate the variable x.

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

-2/3 - x = 1

To combine the fractions, we need a common denominator. The common denominator for 3 and 1 is 3. So, we can rewrite -2/3 as -2/3 * 3/3:

-2/3 * 3/3 - x = 1

This simplifies to:

-6/9 - x = 1

Now, let's add x to both sides of the equation to isolate it:

-6/9 - x + x = 1 + x

Simplifying further:

-6/9 = 1 + x

Next, let's subtract 1 from both sides of the equation:

-6/9 - 1 = 1 + x - 1

Simplifying further:

-6/9 - 9/9 = x

-15/9 = x

Finally, we can simplify the fraction -15/9 by dividing both the numerator and denominator by their greatest common divisor, which is 3:

-15/9 ÷ 3/3 = x

-5/3 = x

Therefore, the solution to the equation -2/3 - x = 1 is x = -5/3.