Simplify: `x - (3 - x)`

Answer

To simplify the expression \( x - (3 - x) \), we will follow the steps systematically:

### Step 1: Distribute the negative sign
The expression inside the parentheses is \( 3 - x \). When we subtract this entire expression, we need to distribute the negative sign across both terms inside the parentheses.

\[ x - (3 - x) = x - 3 + x \]

### Step 2: Combine like terms
Now, we can combine the like terms. The terms \( x \) and \( x \) can be added together.

\[ x + x - 3 = 2x - 3 \]

### Final Answer
Thus, the simplified expression is:

\[ 2x - 3 \]

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