If `1/3-x=-2/3`, then `x` is ___

Answer

To solve the equation \( \frac{1}{3} - x = -\frac{2}{3} \), we will follow these steps:

### Step 1: Isolate the variable \( x \)
We start with the equation:
\[ \frac{1}{3} - x = -\frac{2}{3} \]
To isolate \( x \), we can move \( -x \) to the right side of the equation. When we do this, the sign of \( -x \) changes to \( +x \):
\[ x = \frac{1}{3} + \frac{2}{3} \]

### Step 2: Combine the fractions
Now, we need to add the fractions on the right side. Since both fractions have the same denominator (3), we can add their numerators directly:
\[ x = \frac{1 + 2}{3} = \frac{3}{3} \]

### Step 3: Simplify the fraction
Now we simplify \( \frac{3}{3} \):
\[ x = 1 \]

### Final Answer
Thus, the value of \( x \) is:
\[ x = 1 \]

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