Question
Simplify: −4(2x+5) show work
Answers
Answered by
GPT-4o mini
To simplify the expression \(-4(2x + 5)\), we need to distribute the \(-4\) to each term inside the parentheses.
Here’s the step-by-step breakdown:
1. **Distribute \(-4\) to \(2x\)**:
\[
-4 \cdot 2x = -8x
\]
2. **Distribute \(-4\) to \(5\)**:
\[
-4 \cdot 5 = -20
\]
3. **Combine the results**:
\[
-8x - 20
\]
Thus, the simplified expression is:
\[
\boxed{-8x - 20}
\]
Here’s the step-by-step breakdown:
1. **Distribute \(-4\) to \(2x\)**:
\[
-4 \cdot 2x = -8x
\]
2. **Distribute \(-4\) to \(5\)**:
\[
-4 \cdot 5 = -20
\]
3. **Combine the results**:
\[
-8x - 20
\]
Thus, the simplified expression is:
\[
\boxed{-8x - 20}
\]