Questions: Write the algebraic expression without parentheses. 1/2(2x)+[(-9x)+(9x)]

Transcript text: Write the algebraic expression without parentheses. \[ \frac{1}{2}(2 x)+[(-9 x)+(9 x)] \]

Solution

Solution Steps

To simplify the given algebraic expression, we need to distribute and combine like terms. First, distribute \(\frac{1}{2}\) to \(2x\). Then, simplify the expression inside the brackets by combining \(-9x\) and \(9x\).

Step 1: Distribute \(\frac{1}{2}\) to \(2x\)

First, we distribute \(\frac{1}{2}\) to \(2x\): \[ \frac{1}{2} \cdot 2x = x \]

Step 2: Simplify the expression inside the brackets

Next, we simplify the expression inside the brackets by combining like terms: \[ (-9x) + (9x) = 0 \]

Step 3: Combine the results

Now, we combine the results from the previous steps: \[ x + 0 = x \]

Final Answer

\[ \boxed{x} \]

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