Asked by 🧋 is life
Solve 2/3(x −6)=14 (1 point)
Responses
27
27
−27
negative 27
−15
negative 15
15
Responses
27
27
−27
negative 27
−15
negative 15
15
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{2}{3}(x - 6) = 14 \), follow these steps:
1. **Multiply both sides by 3** to eliminate the fraction:
\[
2(x - 6) = 42
\]
2. **Now, divide both sides by 2**:
\[
x - 6 = 21
\]
3. **Add 6 to both sides** to solve for \( x \):
\[
x = 21 + 6 = 27
\]
So the solution is \( x = 27 \).
The correct response is:
**27**
1. **Multiply both sides by 3** to eliminate the fraction:
\[
2(x - 6) = 42
\]
2. **Now, divide both sides by 2**:
\[
x - 6 = 21
\]
3. **Add 6 to both sides** to solve for \( x \):
\[
x = 21 + 6 = 27
\]
So the solution is \( x = 27 \).
The correct response is:
**27**
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