Question
11:35 \( \boldsymbol{m} \) Done deltamath.com \( \equiv \quad \) Assignment Overview 16 DeltaMath One Step Equations with (Positive) Decima © This is the only question in this section. Question (D) Video Examples Find the value of \( x \) in the equation below. \[ 12.3=x+4.8 \] Answer Attempt 1 out of 2 \[ x=\square \] Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved.
Ask by Grant Gross. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 7.5 \)
Solution
To find the value of \( x \) in the equation:
\[
12.3 = x + 4.8
\]
**Step-by-Step Solution:**
1. **Isolate \( x \):**
To solve for \( x \), you need to isolate it on one side of the equation. Subtract \( 4.8 \) from both sides of the equation:
\[
12.3 - 4.8 = x + 4.8 - 4.8
\]
2. **Simplify Both Sides:**
- **Left Side:** \( 12.3 - 4.8 = 7.5 \)
- **Right Side:** \( x + 0 = x \)
So, the equation simplifies to:
\[
7.5 = x
\]
3. **Conclusion:**
\[
x = 7.5
\]
**Final Answer:**
\[
x = 7.5
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the equation \( 12.3 = x + 4.8 \), you need to isolate \( x \) by performing the same operation on both sides of the equation. Start by subtracting \( 4.8 \) from both sides. So, \( 12.3 - 4.8 \) gives you \( 7.5 \). Thus, \( x = 7.5 \). In the realm of mathematics, particularly with equations, keeping track of positive and negative signs is crucial. A common pitfall is miscalculating when you have decimals involved. Ensure you align decimal points when adding or subtracting; using a calculator can help avoid simple mistakes. 😊
