Pregunta
Simplify \( 4(3-5 x)+3(x-7) \) completely \( \rightarrow \) Next Question
Ask by Watkins Reese. in the United States
Jan 25,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\(-17x - 9\)
Solución
Sure, let's simplify the expression step by step:
\[
4(3 - 5x) + 3(x - 7)
\]
1. **Distribute the multiplication over addition inside each parenthesis:**
\[
= 4 \times 3 + 4 \times (-5x) + 3 \times x + 3 \times (-7)
\]
\[
= 12 - 20x + 3x - 21
\]
2. **Combine like terms:**
- **Combine the constant terms (numbers without variables):**
\[
12 - 21 = -9
\]
- **Combine the terms with \(x\):**
\[
-20x + 3x = -17x
\]
3. **Write the simplified expression:**
\[
-17x - 9
\]
**Final Simplified Expression:** \(-17x - 9\)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Bonus Knowledge
To simplify the expression \( 4(3-5 x)+3(x-7) \), start by distributing the numbers outside the parentheses: 1. Distributing the 4: \[ 4 \cdot 3 - 4 \cdot 5x = 12 - 20x \] 2. Distributing the 3: \[ 3 \cdot x - 3 \cdot 7 = 3x - 21 \] Now, combine these results: \[ 12 - 20x + 3x - 21 \] Combine like terms (the \( x \) terms and the constant terms): 1. For the \( x \) terms: \(-20x + 3x = -17x\) 2. For the constants: \(12 - 21 = -9\) Putting it all together, the simplified expression is: \[ -17x - 9 \]
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