Pregunta
the first step when solving the equation below? \[ \frac{x}{5}-3=2 \]
Ask by Mcdonald Guerrero. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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First, add 3 to both sides to isolate the term with \( x \).
Solución
To solve the equation:
\[
\frac{x}{5} - 3 = 2
\]
**First Step: Isolate the Term with \( x \) by Eliminating the Constant**
Add **3** to both sides of the equation to remove the **-3** from the left side:
\[
\frac{x}{5} - 3 + 3 = 2 + 3
\]
This simplifies to:
\[
\frac{x}{5} = 5
\]
**Explanation:**
- **Adding 3 to both sides** ensures that the equation remains balanced.
- **Isolating \( \frac{x}{5} \)** makes it easier to solve for \( x \) in the subsequent steps.
---
**Next Steps (Optional):**
1. **Multiply both sides by 5** to solve for \( x \):
\[
x = 5 \times 5 = 25
\]
2. **Solution:**
\[
x = 25
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Mind Expander
To tackle the equation \(\frac{x}{5}-3=2\), the first step is to isolate the term involving \(x\). You can do this by adding 3 to both sides of the equation. This eliminates the -3 on the left side, giving you \(\frac{x}{5} = 5\). Now, you're one step closer to finding \(x\)! The next move will be to get rid of the fraction by multiplying both sides by 5, leading you to the solution for \(x\). Happy solving!
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