Question
* Solve the following equation for \( x \). \( a x+2=32 \) A A \( x=\frac{34}{a} \) B \( x=\frac{a}{30} \) C \( x=\frac{30}{a} \) D \( x=\frac{a}{34} \)
Ask by Griffin Cox. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \( x = \frac{30}{a} \), choice C.
Solution
To solve the equation \( a x + 2 = 32 \) for \( x \), follow these steps:
1. **Subtract 2 from both sides:**
\[
a x = 32 - 2
\]
\[
a x = 30
\]
2. **Divide both sides by \( a \) (assuming \( a \neq 0 \)):**
\[
x = \frac{30}{a}
\]
So, the correct answer is:
**C)** \( x = \frac{30}{a} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To solve the equation \( a x + 2 = 32 \), we start by isolating \( ax \). Subtract 2 from both sides to get \( ax = 30 \). Next, we divide both sides by \( a \) to solve for \( x \), leading to \( x = \frac{30}{a} \). Hence, the correct answer is C \( x = \frac{30}{a} \). If you're solving equations like this one often, remember to carefully isolate variables and perform the same operation on both sides. A common mistake is forgetting to maintain the equality, which can lead to incorrect answers. Double-check each step, and you'll reduce errors!
