Pregunta
3. Subtract \( (x-8)-(6 x-5) \)
Ask by Bob Johnston. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\[
(x - 8) - (6x - 5) = -5x - 3
\]
Solución
To subtract \( (x - 8) - (6x - 5) \), follow these steps:
1. **Distribute the Negative Sign:**
When you subtract the second expression, distribute the negative sign to each term inside the parentheses:
\[
(x - 8) - (6x - 5) = x - 8 - 6x + 5
\]
2. **Combine Like Terms:**
- **Combine the \(x\)-terms:**
\[
x - 6x = -5x
\]
- **Combine the constant terms:**
\[
-8 + 5 = -3
\]
3. **Write the Final Expression:**
Combine the results from the like terms:
\[
-5x - 3
\]
**Final Answer:**
\[
(x - 8) - (6x - 5) = -5x - 3
\]
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Beyond the Answer
To solve \( (x-8)-(6x-5) \), start by distributing the minus sign through the second parentheses. This gives us: \[ x - 8 - 6x + 5 \] Now, combine like terms. The \( x \) and the \( -6x \) combine to \( -5x \), and the constants \( -8 \) and \( +5 \) combine to \( -3 \). So, the simplified expression is: \[ -5x - 3 \] That's the result of subtracting \( (x-8)-(6x-5) \)!
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