Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified expression is \( -3x + 25 \).
Solution
To simplify the expression \( 5(2x + 5) - 13x \), follow these steps:
1. **Distribute the 5** across the terms inside the parentheses:
\[
5 \cdot 2x + 5 \cdot 5 = 10x + 25
\]
2. **Subtract \( 13x \)** from the result:
\[
10x + 25 - 13x
\]
3. **Combine like terms** (\( 10x \) and \( -13x \)):
\[
(10x - 13x) + 25 = -3x + 25
\]
So, the simplified expression is:
\[
-3x + 25
\]
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Simplify this solution Beyond the Answer
Let's break it down step by step! Start by distributing the 5 in the expression: \[ 5(2x + 5) = 10x + 25. \] Now, replace the original expression with this result: \[ 10x + 25 - 13x. \] Next, combine like terms (the terms with \(x\)): \[ 10x - 13x + 25 = -3x + 25. \] So, the simplified expression is: \[-3x + 25.\]
