Question
12 Solve the equation \( x-20.7=9.5 \) for \( x \)
Ask by Vaughn Bowman. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 30.2 \)
Solution
To solve the equation \( x - 20.7 = 9.5 \) for \( x \), follow these steps:
1. **Add 20.7 to both sides of the equation** to isolate \( x \):
\[
x - 20.7 + 20.7 = 9.5 + 20.7
\]
2. **Simplify both sides**:
\[
x = 30.2
\]
**Solution:**
\[
x = 30.2
\]
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Simplify this solution Extra Insights
To solve for \( x \), you want to isolate it. Start by adding 20.7 to both sides of the equation: \[ x - 20.7 + 20.7 = 9.5 + 20.7 \] This simplifies to: \[ x = 30.2 \] So, the solution to the equation \( x - 20.7 = 9.5 \) is \( x = 30.2 \). Here's a fun fact: the process of isolating a variable in an equation is like a treasure hunt! You’re just trying to uncover that hidden \( x \) by getting rid of everything else around it. Also, if you ever find yourself stuck with equations, always remember the "inverse operation" rule! Just do the opposite of whatever is being done to \( x \). In this case, since we were subtracting 20.7, we added it back. Simple, right?
